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21211110102 = 23721337149993
BaseRepresentation
bin10011110000010001…
…111101101011010110
32000202020110000222110
4103300101331223112
5321420021010402
613424431411450
71350426314100
oct236021755326
960666400873
1021211110102
118aa5133a66
12413b683b86
13200058c030
1410530a8570
1584224d56c
hex4f047dad6

21211110102 has 96 divisors (see below), whose sum is σ = 54581016672. Its totient is φ = 5442909696.

The previous prime is 21211110097. The next prime is 21211110113. The reversal of 21211110102 is 20101111212.

It is a super-2 number, since 2×212111101022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66418 + ... + 216410.

It is an arithmetic number, because the mean of its divisors is an integer number (568552257).

Almost surely, 221211110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27290508336).

21211110102 is an abundant number, since it is smaller than the sum of its proper divisors (33369906570).

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

21211110102 is a wasteful number, since it uses less digits than its factorization.

21211110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150062 (or 150055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211110102 its reverse (20101111212), we get a palindrome (41312221314).

It can be divided in two parts, 21211110 and 102, that added together give a palindrome (21211212).

The spelling of 21211110102 in words is "twenty-one billion, two hundred eleven million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 777 962 1274 1443 1554 1813 1911 2886 3367 3626 3822 5439 6734 10101 10878 20202 23569 47138 70707 141414 149993 299986 449979 899958 1049951 1949909 2099902 3149853 3899818 5549741 5849727 6299706 7349657 11099482 11699454 13649363 14699314 16649223 22048971 27298726 33298446 38848187 40948089 44097942 72146633 77696374 81896178 95545541 116544561 144293266 191091082 216439899 233089122 271937309 286636623 432879798 505026431 543874618 573273246 815811927 1010052862 1515079293 1631623854 3030158586 3535185017 7070370034 10605555051 21211110102