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21223124032 = 2611194336899
BaseRepresentation
bin10011110000111111…
…110010110001000000
32000210002001101222211
4103300333302301000
5321431104432112
613425541111504
71350633402115
oct236077626100
960702041884
1021223124032
11900099a230
1241436b8594
132002c07476
14105491490c
158433230a7
hex4f0ff2c40

21223124032 has 112 divisors (see below), whose sum is σ = 49487328000. Its totient is φ = 8926364160.

The previous prime is 21223124009. The next prime is 21223124033. The reversal of 21223124032 is 23042132212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21223123994 and 21223124012.

It is not an unprimeable number, because it can be changed into a prime (21223124033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556719 + ... + 593617.

Almost surely, 221223124032 is an apocalyptic number.

21223124032 is a gapful number since it is divisible by the number (22) 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 21223124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24743664000).

21223124032 is an abundant number, since it is smaller than the sum of its proper divisors (28264203968).

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

21223124032 is a wasteful number, since it uses less digits than its factorization.

21223124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36984 (or 36974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21223124032 its reverse (23042132212), we get a palindrome (44265256244).

The spelling of 21223124032 in words is "twenty-one billion, two hundred twenty-three million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 43 44 64 76 86 88 152 172 176 209 304 344 352 418 473 608 688 704 817 836 946 1216 1376 1634 1672 1892 2752 3268 3344 3784 6536 6688 7568 8987 13072 13376 15136 17974 26144 30272 35948 36899 52288 71896 73798 143792 147596 287584 295192 405889 575168 590384 701081 811778 1180768 1402162 1586657 1623556 2361536 2804324 3173314 3247112 5608648 6346628 6494224 7711891 11217296 12693256 12988448 15423782 17453227 22434592 25386512 25976896 30146483 30847564 34906454 44869184 50773024 60292966 61695128 69812908 101546048 120585932 123390256 139625816 241171864 246780512 279251632 331611313 482343728 493561024 558503264 663222626 964687456 1117006528 1326445252 1929374912 2652890504 5305781008 10611562016 21223124032