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102132123332100 = 22352887383811061
BaseRepresentation
bin10111001110001101111100…
…111011100110111000000100
3111101121201212021112001221020
4113032031330323212320010
5101341313042033111400
61001114503313151140
730340542140346261
oct2716157473467004
9441551767461836
10102132123332100
112a5a6a99050a04
12b555a8155b4b0
1344cb03044b964
141b31314b6c268
15bc1a56c362a0
hex5ce37cee6e04

102132123332100 has 72 divisors (see below), whose sum is σ = 295835425612608. Its totient is φ = 27204527932800.

The previous prime is 102132123332059. The next prime is 102132123332117. The reversal of 102132123332100 is 1233321231201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191639431 + ... + 192171630.

Almost surely, 2102132123332100 is an apocalyptic number.

102132123332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132123332100 is an abundant number, since it is smaller than the sum of its proper divisors (193703302280508).

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

102132123332100 is a wasteful number, since it uses less digits than its factorization.

102132123332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383811965 (or 383811958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102132123332100 its reverse (1233321231201), we get a palindrome (103365444563301).

The spelling of 102132123332100 in words is "one hundred two trillion, one hundred thirty-two billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 887 1774 2661 3548 4435 5322 8870 10644 13305 17740 22175 26610 44350 53220 66525 88700 133050 266100 383811061 767622122 1151433183 1535244244 1919055305 2302866366 3838110610 4605732732 5757165915 7676221220 9595276525 11514331830 19190553050 23028663660 28785829575 38381106100 57571659150 115143318300 340440411107 680880822214 1021321233321 1361761644428 1702202055535 2042642466642 3404404111070 4085284933284 5106606166605 6808808222140 8511010277675 10213212333210 17022020555350 20426424666420 25533030833025 34044041110700 51066061666050 102132123332100