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102212029938 = 23191103386341
BaseRepresentation
bin101111100110001001…
…1111100110111110010
3100202211022222002212110
41133030103330313302
53133312234424223
6114542222310150
710245623630244
oct1371423746762
9322738862773
10102212029938
113a391031a17
1217986728356
13983bb938b5
144d38b50094
1529d3530d93
hex17cc4fcdf2

102212029938 has 32 divisors (see below), whose sum is σ = 205695654912. Its totient is φ = 33859094400.

The previous prime is 102212029897. The next prime is 102212029939. The reversal of 102212029938 is 839920212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212029896 and 102212029905.

It is not an unprimeable number, because it can be changed into a prime (102212029939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140648 + ... + 1226988.

It is an arithmetic number, because the mean of its divisors is an integer number (6427989216).

Almost surely, 2102212029938 is an apocalyptic number.

102212029938 is an abundant number, since it is smaller than the sum of its proper divisors (103483624974).

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

102212029938 is a wasteful number, since it uses less digits than its factorization.

102212029938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87570.

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 102212029938 in words is "one hundred two billion, two hundred twelve million, twenty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 191 382 573 1033 1146 2066 3099 6198 86341 172682 197303 259023 394606 518046 591909 1183818 16491131 32982262 49473393 89190253 98946786 178380506 267570759 535141518 17035338323 34070676646 51106014969 102212029938