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21001122096 = 2432989283599
BaseRepresentation
bin10011100011110000…
…111011000100110000
32000012121022112120220
4103203300323010300
5321002241401341
613351530533040
71342266410133
oct234360730460
960177275526
1021001122096
1189a7649959
1240a1297180
131c98c18786
14103324621a
1582dabea66
hex4e3c3b130

21001122096 has 160 divisors (see below), whose sum is σ = 57049920000. Its totient is φ = 6648305664.

The previous prime is 21001122073. The next prime is 21001122173. The reversal of 21001122096 is 69022110012.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 35060005 + ... + 35060603.

It is an arithmetic number, because the mean of its divisors is an integer number (356562000).

Almost surely, 221001122096 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 21001122096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524960000).

21001122096 is an abundant number, since it is smaller than the sum of its proper divisors (36048797904).

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

21001122096 is a wasteful number, since it uses less digits than its factorization.

21001122096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 21001122096 in words is "twenty-one billion, one million, one hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 89 116 174 178 232 267 283 348 356 464 534 566 599 696 712 849 1068 1132 1198 1392 1424 1698 1797 2136 2264 2396 2581 3396 3594 4272 4528 4792 5162 6792 7188 7743 8207 9584 10324 13584 14376 15486 16414 17371 20648 24621 25187 28752 30972 32828 34742 41296 49242 50374 52113 53311 61944 65656 69484 75561 98484 100748 104226 106622 123888 131312 138968 151122 159933 169517 196968 201496 208452 213244 277936 302244 319866 339034 393936 402992 416904 426488 508551 604488 639732 678068 730423 833808 852976 1017102 1208976 1279464 1356136 1460846 1546019 2034204 2191269 2558928 2712272 2921692 3092038 4068408 4382538 4638057 4915993 5843384 6184076 8136816 8765076 9276114 9831986 11686768 12368152 14747979 15087013 17530152 18552228 19663972 24736304 29495958 30174026 35060304 37104456 39327944 45261039 58991916 60348052 74208912 78655888 90522078 117983832 120696104 181044156 235967664 241392208 362088312 437523377 724176624 875046754 1312570131 1750093508 2625140262 3500187016 5250280524 7000374032 10500561048 21001122096