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102507471 = 3311345143
BaseRepresentation
bin1100001110000…
…10001111001111
321010212220211000
412013002033033
5202220214341
614101031343
72353204413
oct607021717
9233786730
10102507471
1152954420
122a3b5553
1318310c11
14d884d43
158eec8b6
hex61c23cf

102507471 has 16 divisors (see below), whose sum is σ = 165669120. Its totient is φ = 62125560.

The previous prime is 102507397. The next prime is 102507473. The reversal of 102507471 is 174705201.

It is not a de Polignac number, because 102507471 - 29 = 102506959 is a prime.

It is a super-3 number, since 3×1025074713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102507473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172275 + ... + 172868.

It is an arithmetic number, because the mean of its divisors is an integer number (10354320).

Almost surely, 2102507471 is an apocalyptic number.

102507471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102507471 is a deficient number, since it is larger than the sum of its proper divisors (63161649).

102507471 is a wasteful number, since it uses less digits than its factorization.

102507471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345163 (or 345157 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 102507471 is about 10124.5973253261. The cubic root of 102507471 is about 468.0064512589.

The spelling of 102507471 in words is "one hundred two million, five hundred seven thousand, four hundred seventy-one".

Divisors: 1 3 9 11 27 33 99 297 345143 1035429 3106287 3796573 9318861 11389719 34169157 102507471