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102311104 = 2674347113
BaseRepresentation
bin1100001100100…
…10010011000000
321010111221110011
412012102103000
5202142423404
614052514304
72351426050
oct606222300
9233457404
10102311104
115282a935
122a31b994
131827271c
14d833560
158eae604
hex61924c0

102311104 has 112 divisors (see below), whose sum is σ = 244620288. Its totient is φ = 41545728.

The previous prime is 102311093. The next prime is 102311119. The reversal of 102311104 is 401113201.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905352 + ... + 905464.

Almost surely, 2102311104 is an apocalyptic number.

102311104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122310144).

102311104 is an abundant number, since it is smaller than the sum of its proper divisors (142309184).

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

102311104 is a wasteful number, since it uses less digits than its factorization.

102311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102311104 is about 10114.8951551660. The cubic root of 102311104 is about 467.7074168977.

Adding to 102311104 its reverse (401113201), we get a palindrome (503424305).

The spelling of 102311104 in words is "one hundred two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 47 56 64 86 94 112 113 172 188 224 226 301 329 344 376 448 452 602 658 688 752 791 904 1204 1316 1376 1504 1582 1808 2021 2408 2632 2752 3008 3164 3616 4042 4816 4859 5264 5311 6328 7232 8084 9632 9718 10528 10622 12656 14147 16168 19264 19436 21056 21244 25312 28294 32336 34013 37177 38872 42488 50624 56588 64672 68026 74354 77744 84976 113176 129344 136052 148708 155488 169952 226352 228373 272104 297416 310976 339904 452704 456746 544208 594832 905408 913492 1088416 1189664 1598611 1826984 2176832 2379328 3197222 3653968 6394444 7307936 12788888 14615872 25577776 51155552 102311104