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102200010211002 = 231122910944533807
BaseRepresentation
bin10111001111001101001011…
…010011011111111010111010
3111101212020002102122211121110
4113033031023103133322322
5101343421110103223002
61001210011520421150
730345464345323104
oct2717151323377272
9441766072584543
10102200010211002
112a622865462900
12b5670687777b6
13450455bb630a2
141b34714c80574
15bc36cba8be6c
hex5cf34b4dfeba

102200010211002 has 96 divisors (see below), whose sum is σ = 234550659974400. Its totient is φ = 29627450455680.

The previous prime is 102200010211001. The next prime is 102200010211081. The reversal of 102200010211002 is 200112010002201.

It is not an unprimeable number, because it can be changed into a prime (102200010211001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19972018 + ... + 24561789.

It is an arithmetic number, because the mean of its divisors is an integer number (2443236041400).

Almost surely, 2102200010211002 is an apocalyptic number.

102200010211002 is an abundant number, since it is smaller than the sum of its proper divisors (132350649763398).

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

102200010211002 is a wasteful number, since it uses less digits than its factorization.

102200010211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44533972 (or 44533961 counting only the distinct ones).

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

Adding to 102200010211002 its reverse (200112010002201), we get a palindrome (302312020213203).

The spelling of 102200010211002 in words is "one hundred two trillion, two hundred billion, ten million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 109 121 174 218 242 319 327 363 638 654 726 957 1199 1914 2398 3161 3509 3597 6322 7018 7194 9483 10527 13189 18966 21054 26378 34771 39567 69542 79134 104313 208626 382481 764962 1147443 2294886 44533807 89067614 133601421 267202842 489871877 979743754 1291480403 1469615631 2582960806 2939231262 3874441209 4854184963 5388590647 7748882418 9708369926 10777181294 14206284433 14562554889 16165771941 28412568866 29125109778 32331543882 42618853299 53396034593 85237706598 106792069186 140771363927 156269128763 160188103779 281542727854 312538257526 320376207558 422314091781 468807386289 587356380523 844628183562 937614772578 1174712761046 1548485003197 1762069141569 3096970006394 3524138283138 4645455009591 9290910019182 17033335035167 34066670070334 51100005105501 102200010211002