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102379329 = 331331972
BaseRepresentation
bin1100001101000…
…10111101000001
321010122102001000
412012202331001
5202202114304
614054202213
72352132003
oct606427501
9233572030
10102379329
1152877118
122a353369
13182977b0
14d850373
158ec4939
hex61a2f41

102379329 has 48 divisors (see below), whose sum is σ = 170365440. Its totient is φ = 60341760.

The previous prime is 102379307. The next prime is 102379369. The reversal of 102379329 is 923973201.

It is not a de Polignac number, because 102379329 - 25 = 102379297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102379293 and 102379302.

It is not an unprimeable number, because it can be changed into a prime (102379369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055409 + ... + 1055505.

It is an arithmetic number, because the mean of its divisors is an integer number (3549280).

Almost surely, 2102379329 is an apocalyptic number.

It is an amenable number.

102379329 is a deficient number, since it is larger than the sum of its proper divisors (67986111).

102379329 is an equidigital number, since it uses as much as digits as its factorization.

102379329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 102379329 is about 10118.2670947154. The cubic root of 102379329 is about 467.8113555942.

The spelling of 102379329 in words is "one hundred two million, three hundred seventy-nine thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 27 31 39 93 97 117 279 291 351 403 837 873 1209 1261 2619 3007 3627 3783 9021 9409 10881 11349 27063 28227 34047 39091 81189 84681 117273 122317 254043 291679 351819 366951 875037 1055457 1100853 2625111 3302559 3791827 7875333 11375481 34126443 102379329