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102131118 = 2341933181
BaseRepresentation
bin1100001011001…
…10010110101110
321010011210120000
412011212112232
5202121143433
614045005130
72350046235
oct605462656
9233153500
10102131118
1152717691
122a2537a6
131820b81b
14d7c7b1c
158e76113
hex61665ae

102131118 has 40 divisors (see below), whose sum is σ = 240901320. Its totient is φ = 32250960.

The previous prime is 102131111. The next prime is 102131119. The reversal of 102131118 is 811131201.

It is a happy number.

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 102131118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13513 + ... + 19668.

It is an arithmetic number, because the mean of its divisors is an integer number (6022533).

Almost surely, 2102131118 is an apocalyptic number.

102131118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102131118 is an abundant number, since it is smaller than the sum of its proper divisors (138770202).

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

102131118 is a wasteful number, since it uses less digits than its factorization.

102131118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33214 (or 33205 counting only the distinct ones).

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

The square root of 102131118 is about 10105.9941618823. The cubic root of 102131118 is about 467.4329918163.

Adding to 102131118 its reverse (811131201), we get a palindrome (913262319).

The spelling of 102131118 in words is "one hundred two million, one hundred thirty-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 33181 66362 99543 199086 298629 597258 630439 895887 1260878 1791774 1891317 2687661 3782634 5375322 5673951 11347902 17021853 34043706 51065559 102131118