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102157363 = 7114132359
BaseRepresentation
bin1100001011011…
…00110000110011
321010020010120001
412011230300303
5202123013423
614045330431
72350215610
oct605546063
9233203501
10102157363
1152735380
122a266a17
131821a759
14d7d3507
158e7dcad
hex616cc33

102157363 has 16 divisors (see below), whose sum is σ = 130475520. Its totient is φ = 77659200.

The previous prime is 102157339. The next prime is 102157387. The reversal of 102157363 is 363751201.

It is an interprime number because it is at equal distance from previous prime (102157339) and next prime (102157387).

It is a cyclic number.

It is not a de Polignac number, because 102157363 - 25 = 102157331 is a prime.

It is a super-2 number, since 2×1021573632 = 20872253630227538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102157303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13023 + ... + 19336.

It is an arithmetic number, because the mean of its divisors is an integer number (8154720).

Almost surely, 2102157363 is an apocalyptic number.

102157363 is a deficient number, since it is larger than the sum of its proper divisors (28318157).

102157363 is a wasteful number, since it uses less digits than its factorization.

102157363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32418.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 102157363 is about 10107.2925652719. The cubic root of 102157363 is about 467.4730276984.

It can be divided in two parts, 10215 and 7363, that added together give a triangular number (17578 = T187).

The spelling of 102157363 in words is "one hundred two million, one hundred fifty-seven thousand, three hundred sixty-three".

Divisors: 1 7 11 41 77 287 451 3157 32359 226513 355949 1326719 2491643 9287033 14593909 102157363