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21125621124 = 22331911538929
BaseRepresentation
bin10011101011001011…
…110110010110000100
32000112021120202011000
4103223023312112010
5321231124333444
613412135213300
71345340550066
oct235313662604
960467522130
1021125621124
118a60953913
124116b17230
131cb895943a
1410459b3736
158399b3469
hex4eb2f6584

21125621124 has 96 divisors (see below), whose sum is σ = 57709232000. Its totient is φ = 6664716288.

The previous prime is 21125621113. The next prime is 21125621129. The reversal of 21125621124 is 42112652112.

It is a happy number.

21125621124 is a `hidden beast` number, since 2 + 1 + 1 + 25 + 621 + 12 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21125621129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361492 + ... + 2370420.

Almost surely, 221125621124 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 21125621124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28854616000).

21125621124 is an abundant number, since it is smaller than the sum of its proper divisors (36583610876).

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

21125621124 is a wasteful number, since it uses less digits than its factorization.

21125621124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10106 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The spelling of 21125621124 in words is "twenty-one billion, one hundred twenty-five million, six hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1153 2052 2306 3459 4612 6918 8929 10377 13836 17858 20754 21907 26787 31131 35716 41508 43814 53574 62262 65721 80361 87628 107148 124524 131442 160722 169651 197163 241083 262884 321444 339302 394326 482166 508953 591489 678604 788652 964332 1017906 1182978 1526859 2035812 2365956 3053718 4580577 6107436 9161154 10295137 18322308 20590274 30885411 41180548 61770822 92656233 123541644 185312466 195607603 277968699 370624932 391215206 555937398 586822809 782430412 1111874796 1173645618 1760468427 2347291236 3520936854 5281405281 7041873708 10562810562 21125621124