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102372114 = 231319671031
BaseRepresentation
bin1100001101000…
…01001100010010
321010122001010210
412012201030102
5202201401424
614054104550
72352101655
oct606411422
9233561123
10102372114
1152871759
122a34b156
1318294420
14d84b89c
158ec2729
hex61a1312

102372114 has 64 divisors (see below), whose sum is σ = 235791360. Its totient is φ = 29367360.

The previous prime is 102372031. The next prime is 102372119. The reversal of 102372114 is 411273201.

It is not an unprimeable number, because it can be changed into a prime (102372119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98779 + ... + 99809.

It is an arithmetic number, because the mean of its divisors is an integer number (3684240).

Almost surely, 2102372114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102372114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117895680).

102372114 is an abundant number, since it is smaller than the sum of its proper divisors (133419246).

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

102372114 is a wasteful number, since it uses less digits than its factorization.

102372114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 102372114 is about 10117.9105550504. The cubic root of 102372114 is about 467.8003659466.

It can be divided in two parts, 1023 and 72114, that added together give a palindrome (73137).

The spelling of 102372114 in words is "one hundred two million, three hundred seventy-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 67 78 114 134 201 247 402 494 741 871 1031 1273 1482 1742 2062 2546 2613 3093 3819 5226 6186 7638 13403 16549 19589 26806 33098 39178 40209 49647 58767 69077 80418 99294 117534 138154 207231 254657 414462 509314 763971 898001 1312463 1527942 1796002 2624926 2694003 3937389 5388006 7874778 17062019 34124038 51186057 102372114