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102142103232 = 2631340922317
BaseRepresentation
bin101111100100000100…
…1001100111011000000
3100202122110101110110110
41133020021030323000
53133141334300412
6114531243431320
710244114360301
oct1371011147300
9322573343413
10102142103232
113a355610a54
1217967225540
13982a54c550
144d2d74a7a8
1529cc31bd3c
hex17c824cec0

102142103232 has 56 divisors (see below), whose sum is σ = 291039525616. Its totient is φ = 31428338688.

The previous prime is 102142103227. The next prime is 102142103237. The reversal of 102142103232 is 232301241201.

It is an interprime number because it is at equal distance from previous prime (102142103227) and next prime (102142103237).

It is a junction number, because it is equal to n+sod(n) for n = 102142103199 and 102142103208.

It is not an unprimeable number, because it can be changed into a prime (102142103237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20458663 + ... + 20463654.

It is an arithmetic number, because the mean of its divisors is an integer number (5197134386).

Almost surely, 2102142103232 is an apocalyptic number.

102142103232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102142103232 is an abundant number, since it is smaller than the sum of its proper divisors (188897422384).

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

102142103232 is a wasteful number, since it uses less digits than its factorization.

102142103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40922345 (or 40922335 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102142103232 its reverse (232301241201), we get a palindrome (334443344433).

The spelling of 102142103232 in words is "one hundred two billion, one hundred forty-two million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 40922317 81844634 122766951 163689268 245533902 327378536 491067804 531990121 654757072 982135608 1063980242 1309514144 1595970363 1964271216 2127960484 2619028288 3191940726 3928542432 4255920968 6383881452 7857084864 8511841936 12767762904 17023683872 25535525808 34047367744 51071051616 102142103232