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102142013424 = 24311193450783
BaseRepresentation
bin101111100100000100…
…0110110111111110000
3100202122110012220021020
41133020020312333300
53133141323412144
6114531241455440
710244113534413
oct1371010667760
9322573186236
10102142013424
113a35555a530
12179671a1580
13982a51a6c9
144d2d725b7a
1529cc300419
hex17c8236ff0

102142013424 has 40 divisors (see below), whose sum is σ = 287854766592. Its totient is φ = 30952125120.

The previous prime is 102142013411. The next prime is 102142013443. The reversal of 102142013424 is 424310241201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102142013394 and 102142013403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96724864 + ... + 96725919.

Almost surely, 2102142013424 is an apocalyptic number.

It is an amenable number.

102142013424 is an abundant number, since it is smaller than the sum of its proper divisors (185712753168).

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

102142013424 is a wasteful number, since it uses less digits than its factorization.

102142013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193450805 (or 193450799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102142013424 its reverse (424310241201), we get a palindrome (526452254625).

The spelling of 102142013424 in words is "one hundred two billion, one hundred forty-two million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 193450783 386901566 580352349 773803132 1160704698 1547606264 2127958613 2321409396 3095212528 4255917226 4642818792 6383875839 8511834452 9285637584 12767751678 17023668904 25535503356 34047337808 51071006712 102142013424