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102113118 = 232172937311
BaseRepresentation
bin1100001011000…
…01111101011110
321010010212212100
412011201331132
5202120104433
614044345530
72346642612
oct605417536
9233125770
10102113118
1152705108
122a2452a6
1318203583
14d7c1342
158e70b13
hex6161f5e

102113118 has 96 divisors (see below), whose sum is σ = 249687360. Its totient is φ = 29998080.

The previous prime is 102113117. The next prime is 102113119. The reversal of 102113118 is 811311201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102113117) and next prime (102113119).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102113118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328183 + ... + 328493.

It is an arithmetic number, because the mean of its divisors is an integer number (2600910).

Almost surely, 2102113118 is an apocalyptic number.

102113118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124843680).

102113118 is an abundant number, since it is smaller than the sum of its proper divisors (147574242).

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

102113118 is a wasteful number, since it uses less digits than its factorization.

102113118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 102113118 is about 10105.1035620621. The cubic root of 102113118 is about 467.4055294445.

Adding to 102113118 its reverse (811311201), we get a palindrome (913424319).

The spelling of 102113118 in words is "one hundred two million, one hundred thirteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 17 18 29 34 37 51 58 74 87 102 111 153 174 222 261 306 311 333 493 522 622 629 666 933 986 1073 1258 1479 1866 1887 2146 2799 2958 3219 3774 4437 5287 5598 5661 6438 8874 9019 9657 10574 11322 11507 15861 18038 18241 19314 23014 27057 31722 34521 36482 47583 54114 54723 69042 81171 95166 103563 109446 153323 162342 164169 195619 207126 306646 328338 333703 391238 459969 586857 667406 919938 1001109 1173714 1379907 1760571 2002218 2759814 3003327 3521142 5672951 6006654 11345902 17018853 34037706 51056559 102113118