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202101000012210 = 2351317913931207811
BaseRepresentation
bin101101111100111101001110…
…010100001000000110110010
3222111120200000011211010122110
4231330331032110020012302
5202442210322000342320
61553455530115150150
760366213116622555
oct5574751624100662
9874520004733573
10202101000012210
1159439609821202
121a80063bba5356
1388a0072575590
1437c9a5228669c
15185719de8b5e0
hexb7cf4e5081b2

202101000012210 has 128 divisors (see below), whose sum is σ = 525311762088960. Its totient is φ = 49466227910400.

The previous prime is 202101000012199. The next prime is 202101000012269. The reversal of 202101000012210 is 12210000101202.

202101000012210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2021010000122103 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972419205 + ... + 972627015.

It is an arithmetic number, because the mean of its divisors is an integer number (4103998141320).

Almost surely, 2202101000012210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101000012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262655881044480).

202101000012210 is an abundant number, since it is smaller than the sum of its proper divisors (323210762076750).

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

202101000012210 is a wasteful number, since it uses less digits than its factorization.

202101000012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221944.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202101000012210 its reverse (12210000101202), we get a palindrome (214311000113412).

The spelling of 202101000012210 in words is "two hundred two trillion, one hundred one billion, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 179 195 358 390 537 895 1074 1790 2327 2685 4654 5370 6981 11635 13931 13962 23270 27862 34905 41793 69655 69810 83586 139310 181103 207811 208965 362206 415622 417930 543309 623433 905515 1039055 1086618 1246866 1811030 2078110 2493649 2701543 2716545 3117165 4987298 5403086 5433090 6234330 7480947 8104629 12468245 13507715 14961894 16209258 24936490 27015430 32417437 37198169 37404735 40523145 64834874 74396338 74809470 81046290 97252311 111594507 162087185 185990845 194504622 223189014 324174370 371981690 483576197 486261555 557972535 967152394 972523110 1115945070 1450728591 2417880985 2895015041 2901457182 4835761970 5790030082 7253642955 8685045123 14475075205 14507285910 17370090246 28950150410 37635195533 43425225615 75270391066 86850451230 112905586599 188175977665 225811173198 376351955330 518207692339 564527932995 1036415384678 1129055865990 1554623077017 2591038461695 3109246154034 5182076923390 6736700000407 7773115385085 13473400000814 15546230770170 20210100001221 33683500002035 40420200002442 67367000004070 101050500006105 202101000012210