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102132415 = 5721137897
BaseRepresentation
bin1100001011001…
…10101010111111
321010011212100001
412011212222333
5202121214130
614045015131
72350053100
oct605465277
9233155301
10102132415
1152718660
122a2544a7
131820c2a8
14d7c83a7
158e766ca
hex6166abf

102132415 has 24 divisors (see below), whose sum is σ = 155533392. Its totient is φ = 63665280.

The previous prime is 102132409. The next prime is 102132449. The reversal of 102132415 is 514231201.

It is not a de Polignac number, because 102132415 - 213 = 102124223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102132392 and 102132401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16254 + ... + 21643.

It is an arithmetic number, because the mean of its divisors is an integer number (6480558).

Almost surely, 2102132415 is an apocalyptic number.

102132415 is a deficient number, since it is larger than the sum of its proper divisors (53400977).

102132415 is a wasteful number, since it uses less digits than its factorization.

102132415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37927 (or 37920 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102132415 is about 10106.0583315158. The cubic root of 102132415 is about 467.4349705081.

Adding to 102132415 its reverse (514231201), we get a palindrome (616363616).

The spelling of 102132415 in words is "one hundred two million, one hundred thirty-two thousand, four hundred fifteen".

Divisors: 1 5 7 11 35 49 55 77 245 385 539 2695 37897 189485 265279 416867 1326395 1856953 2084335 2918069 9284765 14590345 20426483 102132415