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21321223220 = 225111015771663
BaseRepresentation
bin10011110110110110…
…000000110000110100
32001000220122100210002
4103312312000300310
5322131213120340
613443403450432
71353234256433
oct236666006064
961026570702
1021321223220
119051302640
124170526a18
13201a333a1b
14106396d11a
1584bc4e715
hex4f6d80c34

21321223220 has 96 divisors (see below), whose sum is σ = 49443803136. Its totient is φ = 7658496000.

The previous prime is 21321223163. The next prime is 21321223247. The reversal of 21321223220 is 2232212312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21321223192 and 21321223201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12820109 + ... + 12821771.

It is an arithmetic number, because the mean of its divisors is an integer number (515039616).

Almost surely, 221321223220 is an apocalyptic number.

21321223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721901568).

21321223220 is an abundant number, since it is smaller than the sum of its proper divisors (28122579916).

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

21321223220 is a wasteful number, since it uses less digits than its factorization.

21321223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21321223220 its reverse (2232212312), we get a palindrome (23553435532).

The spelling of 21321223220 in words is "twenty-one billion, three hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 577 1010 1111 1154 1663 2020 2222 2308 2885 3326 4444 5555 5770 6347 6652 8315 11110 11540 12694 16630 18293 22220 25388 31735 33260 36586 58277 63470 73172 91465 116554 126940 167963 182930 233108 291385 335926 365860 582770 641047 671852 839815 959551 1165540 1282094 1679630 1847593 1919102 2564188 3205235 3359260 3695186 3838204 4797755 6410470 7390372 9237965 9595510 10555061 12820940 18475930 19191020 21110122 36951860 42220244 52775305 96914651 105550610 193829302 211101220 387658604 484573255 969146510 1066061161 1938293020 2132122322 4264244644 5330305805 10660611610 21321223220