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102211011101200 = 24522394603117437
BaseRepresentation
bin10111001111010111011011…
…000000100100001000010000
3111101220021111002202221222011
4113033113123000210020100
5101344111122320214300
61001215031255552304
730346334065334221
oct2717273300441020
9441807432687864
10102211011101200
112a6274a01494a1
12b56921898b694
1345055c300c981
141b35079d03248
15bc3b22754eba
hex5cf5db024210

102211011101200 has 120 divisors (see below), whose sum is σ = 256243451387328. Its totient is φ = 39106075261440.

The previous prime is 102211011101123. The next prime is 102211011101209. The reversal of 102211011101200 is 2101110112201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102211011101209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870288882 + ... + 870406318.

Almost surely, 2102211011101200 is an apocalyptic number.

102211011101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211011101200 is an abundant number, since it is smaller than the sum of its proper divisors (154032440286128).

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

102211011101200 is a wasteful number, since it uses less digits than its factorization.

102211011101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212081 (or 212070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102211011101200 its reverse (2101110112201), we get a palindrome (104312121213401).

The spelling of 102211011101200 in words is "one hundred two trillion, two hundred eleven billion, eleven million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 94603 117437 189206 234874 378412 469748 473015 587185 756824 939496 946030 1174370 1513648 1878992 1892060 2175869 2348740 2365075 2701051 2935925 3784120 4351738 4697480 4730150 5402102 5871850 7568240 8703476 9394960 9460300 10804204 10879345 11743700 13505255 17406952 18920600 21608408 21758690 23487400 27010510 34813904 37841200 43216816 43517380 46974800 54021020 54396725 67526275 87034760 108042040 108793450 135052550 174069520 216084080 217586900 270105100 435173800 540210200 870347600 1080420400 11109892511 22219785022 44439570044 55549462555 88879140088 111098925110 177758280176 222197850220 255527527753 277747312775 444395700440 511055055506 555494625550 888791400880 1022110111012 1110989251100 1277637638765 2044220222024 2221978502200 2555275277530 4088440444048 4443957004400 5110550555060 6388188193825 10221101110120 12776376387650 20442202220240 25552752775300 51105505550600 102211011101200