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102132232012120 = 235139123479148763
BaseRepresentation
bin10111001110001110000011…
…011010001100000101011000
3111101121202010212000120220011
4113032032003122030011120
5101341313302343341440
61001114522154411304
730340544630202532
oct2716160332140530
9441552125016804
10102132232012120
112a5a7044430902
12b555ab1a30b34
1344cb049b1126b
141b3132537c852
15bc1a615529ea
hex5ce38368c158

102132232012120 has 64 divisors (see below), whose sum is σ = 231454171872000. Its totient is φ = 40558385993088.

The previous prime is 102132232012103. The next prime is 102132232012159. The reversal of 102132232012120 is 21210232231201.

It is a super-4 number, since 4×1021322320121204 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132232012091 and 102132232012100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686468859 + ... + 686617621.

It is an arithmetic number, because the mean of its divisors is an integer number (3616471435500).

Almost surely, 2102132232012120 is an apocalyptic number.

102132232012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132232012120 is an abundant number, since it is smaller than the sum of its proper divisors (129321939859880).

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

102132232012120 is a wasteful number, since it uses less digits than its factorization.

102132232012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272392 (or 272388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102132232012120 its reverse (21210232231201), we get a palindrome (123342464243321).

The spelling of 102132232012120 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred thirty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 123479 148763 246958 297526 493916 595052 617395 743815 987832 1190104 1234790 1487630 2469580 2975260 4939160 5950520 17163581 20678057 34327162 41356114 68654324 82712228 85817905 103390285 137308648 165424456 171635810 206780570 343271620 413561140 686543240 827122280 18369106477 36738212954 73476425908 91845532385 146952851816 183691064770 367382129540 734764259080 2553305800303 5106611600606 10213223201212 12766529001515 20426446402424 25533058003030 51066116006060 102132232012120