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102123114 = 23173132297
BaseRepresentation
bin1100001011001…
…00011001101010
321010011101120120
412011210121222
5202120414424
614044504110
72350014012
oct605443152
9233141516
10102123114
1152711675
122a24b036
1318207ca2
14d7c4c42
158e73a79
hex616466a

102123114 has 32 divisors (see below), whose sum is σ = 223243776. Its totient is φ = 31004160.

The previous prime is 102123107. The next prime is 102123137. The reversal of 102123114 is 411321201.

It is a junction number, because it is equal to n+sod(n) for n = 102123093 and 102123102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12987 + ... + 19310.

It is an arithmetic number, because the mean of its divisors is an integer number (6976368).

Almost surely, 2102123114 is an apocalyptic number.

102123114 is an abundant number, since it is smaller than the sum of its proper divisors (121120662).

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

102123114 is a wasteful number, since it uses less digits than its factorization.

102123114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32350.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102123114 is about 10105.5981515198. The cubic root of 102123114 is about 467.4207806134.

Adding to 102123114 its reverse (411321201), we get a palindrome (513444315).

The spelling of 102123114 in words is "one hundred two million, one hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 3162 32297 64594 96891 193782 549049 1001207 1098098 1647147 2002414 3003621 3294294 6007242 17020519 34041038 51061557 102123114