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21311444232 = 233213107212791
BaseRepresentation
bin10011110110010000…
…101101010100001000
32001000020020112112100
4103312100231110020
5322121212203412
613442414113400
71353055200321
oct236620552410
961006215470
1021311444232
119046833531
1241691ab860
1320182bb940
141062545448
1584ae6bedc
hex4f642d508

21311444232 has 96 divisors (see below), whose sum is σ = 62739593280. Its totient is φ = 6496053120.

The previous prime is 21311444197. The next prime is 21311444249. The reversal of 21311444232 is 23244411312.

21311444232 is a `hidden beast` number, since 213 + 1 + 1 + 4 + 442 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21311444196 and 21311444205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6244 + ... + 206547.

It is an arithmetic number, because the mean of its divisors is an integer number (653537430).

Almost surely, 221311444232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31369796640).

21311444232 is an abundant number, since it is smaller than the sum of its proper divisors (41428149048).

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

21311444232 is a wasteful number, since it uses less digits than its factorization.

21311444232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212923 (or 212916 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21311444232 its reverse (23244411312), we get a palindrome (44555855544).

The spelling of 21311444232 in words is "twenty-one billion, three hundred eleven million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 312 321 428 468 642 856 936 963 1284 1391 1926 2568 2782 3852 4173 5564 7704 8346 11128 12519 16692 25038 33384 50076 100152 212791 425582 638373 851164 1276746 1702328 1915119 2553492 2766283 3830238 5106984 5532566 7660476 8298849 11065132 15320952 16597698 22130264 22768637 24896547 33195396 45537274 49793094 66390792 68305911 91074548 99586188 136611822 182149096 199172376 204917733 273223644 295992281 409835466 546447288 591984562 819670932 887976843 1183969124 1639341864 1775953686 2367938248 2663930529 3551907372 5327861058 7103814744 10655722116 21311444232