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102157208838 = 23219215721331
BaseRepresentation
bin101111100100100001…
…0110100110100000110
3100202200111210220110100
41133021002310310012
53133204221140323
6114532543304530
710244356643046
oct1371102646406
9322614726410
10102157208838
113a363099023
12179702ab146
13983070ac89
144d3175d726
1529cd802943
hex17c90b4d06

102157208838 has 36 divisors (see below), whose sum is σ = 233603272188. Its totient is φ = 32260169160.

The previous prime is 102157208837. The next prime is 102157208893. The reversal of 102157208838 is 838802751201.

It is a junction number, because it is equal to n+sod(n) for n = 102157208793 and 102157208802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102157208831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7854168 + ... + 7867163.

It is an arithmetic number, because the mean of its divisors is an integer number (6488979783).

Almost surely, 2102157208838 is an apocalyptic number.

102157208838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102157208838 is an abundant number, since it is smaller than the sum of its proper divisors (131446063350).

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

102157208838 is a wasteful number, since it uses less digits than its factorization.

102157208838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15721377 (or 15721355 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 102157208838 in words is "one hundred two billion, one hundred fifty-seven million, two hundred eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 15721331 31442662 47163993 94327986 141491979 282983958 298705289 597410578 896115867 1792231734 2688347601 5376695202 5675400491 11350800982 17026201473 34052402946 51078604419 102157208838