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102916429 = 7112121507
BaseRepresentation
bin1100010001001…
…10000101001101
321011122200210121
412020212011031
5202321311204
614113504541
72356526620
oct610460515
9234580717
10102916429
1153103700
122a572151
13184250c5
14d94ddb7
15907db54
hex622614d

102916429 has 12 divisors (see below), whose sum is σ = 129284512. Its totient is φ = 80193960.

The previous prime is 102916423. The next prime is 102916433. The reversal of 102916429 is 924619201.

It is a de Polignac number, because none of the positive numbers 2k-102916429 is a prime.

It is a super-2 number, since 2×1029164292 = 21183582716224082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102916394 and 102916403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102916423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59907 + ... + 61600.

Almost surely, 2102916429 is an apocalyptic number.

It is an amenable number.

102916429 is a deficient number, since it is larger than the sum of its proper divisors (26368083).

102916429 is a wasteful number, since it uses less digits than its factorization.

102916429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121536 (or 121525 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 102916429 is about 10144.7734819463. The cubic root of 102916429 is about 468.6280027643.

The spelling of 102916429 in words is "one hundred two million, nine hundred sixteen thousand, four hundred twenty-nine".

Divisors: 1 7 11 77 121 847 121507 850549 1336577 9356039 14702347 102916429