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21126121116 = 223101103229739
BaseRepresentation
bin10011101011001101…
…110000011010011100
32000112022112011000020
4103223031300122130
5321231241333431
613412154032140
71345345031562
oct235315603234
960468464006
1021126121116
118a61165531
124117118650
131cb8aa2ba9
141045aa3a32
15839a61696
hex4eb37069c

21126121116 has 96 divisors (see below), whose sum is σ = 50553484800. Its totient is φ = 6865171200.

The previous prime is 21126121097. The next prime is 21126121129. The reversal of 21126121116 is 61112162112.

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

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, 28587075 + ... + 28587813.

It is an arithmetic number, because the mean of its divisors is an integer number (526598800).

Almost surely, 221126121116 is an apocalyptic number.

It is an amenable number.

21126121116 is an abundant number, since it is smaller than the sum of its proper divisors (29427363684).

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

21126121116 is a wasteful number, since it uses less digits than its factorization.

21126121116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

Adding to 21126121116 its reverse (61112162112), we get a palindrome (82238283228).

The spelling of 21126121116 in words is "twenty-one billion, one hundred twenty-six million, one hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 101 103 202 206 229 303 309 404 412 458 606 618 687 739 916 1212 1236 1374 1478 2217 2748 2956 4434 8868 10403 20806 23129 23587 31209 41612 46258 47174 62418 69387 70761 74639 76117 92516 94348 124836 138774 141522 149278 152234 169231 223917 228351 277548 283044 298556 304468 338462 447834 456702 507693 676924 895668 913404 1015386 2030772 2382287 4764574 7146861 7687817 9529148 14293722 15375634 17092331 17430793 23063451 28587444 30751268 34184662 34861586 46126902 51276993 52292379 68369324 69723172 92253804 102553986 104584758 205107972 209169516 1760510093 3521020186 5281530279 7042040372 10563060558 21126121116