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102595122 = 23272293397
BaseRepresentation
bin1100001110101…
…11101000110010
321011001101001100
412013113220302
5202231020442
614102545230
72354021100
oct607275062
9234041040
10102595122
1152a04263
122a438216
1318341a96
14d8a8c70
15901884c
hex61d7a32

102595122 has 72 divisors (see below), whose sum is σ = 260117676. Its totient is φ = 29139264.

The previous prime is 102595109. The next prime is 102595123. The reversal of 102595122 is 221595201.

It can be written as a sum of positive squares in 2 ways, for example, as 89699841 + 12895281 = 9471^2 + 3591^2 .

It is not an unprimeable number, because it can be changed into a prime (102595123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258228 + ... + 258624.

Almost surely, 2102595122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102595122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130058838).

102595122 is an abundant number, since it is smaller than the sum of its proper divisors (157522554).

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

102595122 is a wasteful number, since it uses less digits than its factorization.

102595122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 102595122 is about 10128.9250169996. The cubic root of 102595122 is about 468.1398059195.

The spelling of 102595122 in words is "one hundred two million, five hundred ninety-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 293 294 397 441 586 794 879 882 1191 1758 2051 2382 2637 2779 3573 4102 5274 5558 6153 7146 8337 12306 14357 16674 18459 19453 25011 28714 36918 38906 43071 50022 58359 86142 116321 116718 129213 175077 232642 258426 348963 350154 697926 814247 1046889 1628494 2093778 2442741 4885482 5699729 7328223 11399458 14656446 17099187 34198374 51297561 102595122