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102996531 = 32112271349
BaseRepresentation
bin1100010001110…
…01101000110011
321011210202200100
412020321220303
5202331342111
614115323443
72360312301
oct610715063
9234722610
10102996531
1153158900
122a5b0583
13184526c1
14d971271
159097756
hex6239a33

102996531 has 36 divisors (see below), whose sum is σ = 164600800. Its totient is φ = 62013600.

The previous prime is 102996529. The next prime is 102996547. The reversal of 102996531 is 135699201.

102996531 is a `hidden beast` number, since 10 + 29 + 96 + 531 = 666.

It is not a de Polignac number, because 102996531 - 21 = 102996529 is a prime.

It is a super-2 number, since 2×1029965312 = 21216570796067922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102996571) 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 35 ways as a sum of consecutive naturals, for example, 294945 + ... + 295293.

Almost surely, 2102996531 is an apocalyptic number.

102996531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102996531 is a deficient number, since it is larger than the sum of its proper divisors (61604269).

102996531 is a wasteful number, since it uses less digits than its factorization.

102996531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

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

The square root of 102996531 is about 10148.7206582899. The cubic root of 102996531 is about 468.7495522129.

The spelling of 102996531 in words is "one hundred two million, nine hundred ninety-six thousand, five hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 271 349 363 813 1047 1089 2439 2981 3141 3839 8943 11517 26829 32791 34551 42229 94579 98373 126687 283737 295119 380061 851211 1040369 3121107 9363321 11444059 34332177 102996531