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102996135 = 32511208073
BaseRepresentation
bin1100010001110…
…01100010100111
321011210202010200
412020321202213
5202331334020
614115321543
72360311164
oct610714247
9234722120
10102996135
1153158580
122a5b02b3
1318452478
14d97106b
159097590
hex62398a7

102996135 has 24 divisors (see below), whose sum is σ = 194757264. Its totient is φ = 49937280.

The previous prime is 102996133. The next prime is 102996143. The reversal of 102996135 is 531699201.

102996135 is a `hidden beast` number, since 10 + 29 + 9 + 613 + 5 = 666.

It is not a de Polignac number, because 102996135 - 21 = 102996133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102996135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102996133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103542 + ... + 104531.

It is an arithmetic number, because the mean of its divisors is an integer number (8114886).

Almost surely, 2102996135 is an apocalyptic number.

102996135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102996135 is a deficient number, since it is larger than the sum of its proper divisors (91761129).

102996135 is a wasteful number, since it uses less digits than its factorization.

102996135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208095 (or 208092 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 102996135 is about 10148.7011484229. The cubic root of 102996135 is about 468.7489514643.

The spelling of 102996135 in words is "one hundred two million, nine hundred ninety-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 208073 624219 1040365 1872657 2288803 3121095 6866409 9363285 11444015 20599227 34332045 102996135