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102531114 = 232717151317
BaseRepresentation
bin1100001110010…
…00000000101010
321010221010020200
412013020000222
5202221443424
614101333030
72353333350
oct607100052
9233833220
10102531114
1152970164
122a407176
131831b8ca
14d88d7d0
1590048c9
hex61c802a

102531114 has 96 divisors (see below), whose sum is σ = 271454976. Its totient is φ = 27302400.

The previous prime is 102531109. The next prime is 102531127. The reversal of 102531114 is 411135201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323284 + ... + 323600.

It is an arithmetic number, because the mean of its divisors is an integer number (2827656).

Almost surely, 2102531114 is an apocalyptic number.

102531114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102531114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135727488).

102531114 is an abundant number, since it is smaller than the sum of its proper divisors (168923862).

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

102531114 is a wasteful number, since it uses less digits than its factorization.

102531114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102531114 is about 10125.7648599995. The cubic root of 102531114 is about 468.0424298590.

Adding to 102531114 its reverse (411135201), we get a palindrome (513666315).

The spelling of 102531114 in words is "one hundred two million, five hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 151 153 238 302 306 317 357 453 634 714 906 951 1057 1071 1359 1902 2114 2142 2219 2567 2718 2853 3171 4438 5134 5389 5706 6342 6657 7701 9513 10778 13314 15402 16167 17969 19026 19971 23103 32334 35938 37723 39942 46206 47867 48501 53907 75446 95734 97002 107814 113169 143601 161721 226338 287202 323442 335069 339507 430803 670138 679014 813739 861606 1005207 1627478 2010414 2441217 3015621 4882434 5696173 6031242 7323651 11392346 14647302 17088519 34177038 51265557 102531114