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21210212210022 = 23311172957710327
BaseRepresentation
bin1001101001010011000110…
…01010100001010101100110
32210002200021011020122012000
410310221203022201111212
510240002003311210042
6113035500441510130
74316246555046663
oct464514312412546
983080234218160
1021210212210022
116838222930720
1224668211a2346
13bab164529964
14534818b88a6a
1526bad639b74c
hex134a632a1566

21210212210022 has 128 divisors (see below), whose sum is σ = 54461813806080. Its totient is φ = 6047204129280.

The previous prime is 21210212209933. The next prime is 21210212210029. The reversal of 21210212210022 is 22001221201212.

It is a happy number.

21210212210022 is a `hidden beast` number, since 212 + 10 + 212 + 210 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210212209977 and 21210212210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210212210029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29504623 + ... + 30214949.

It is an arithmetic number, because the mean of its divisors is an integer number (425482920360).

Almost surely, 221210212210022 is an apocalyptic number.

21210212210022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210212210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230906903040).

21210212210022 is an abundant number, since it is smaller than the sum of its proper divisors (33251601596058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21210212210022 is a wasteful number, since it uses less digits than its factorization.

21210212210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713323 (or 713317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21210212210022 its reverse (22001221201212), we get a palindrome (43211433411234).

The spelling of 21210212210022 in words is "twenty-one trillion, two hundred ten billion, two hundred twelve million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 2957 3366 5049 5914 8871 10098 17742 26613 32527 50269 53226 65054 79839 97581 100538 150807 159678 195162 292743 301614 452421 552959 585486 710327 878229 904842 1105918 1357263 1420654 1658877 1756458 2130981 2714526 3317754 4261962 4976631 6392943 7813597 9953262 12075559 12785886 14929893 15627194 19178829 23440791 24151118 29859786 36226677 38357658 46881582 70322373 72453354 108680031 132831149 140644746 210967119 217360062 265662298 326040093 398493447 421934238 652080186 796986894 1195480341 2100436939 2390960682 3586441023 4200873878 6301310817 7172882046 12602621634 18903932451 23104806329 35707427963 37807864902 46209612658 56711797353 69314418987 71414855926 107122283889 113423594706 138628837974 207943256961 214244567778 321366851667 392781707593 415886513922 623829770883 642733703334 785563415186 964100555001 1178345122779 1247659541766 1928201110002 2356690245558 3535035368337 7070070736674 10605106105011 21210212210022