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101310930 = 23257222973
BaseRepresentation
bin1100000100111…
…10000111010010
321001122010110200
412002132013102
5201413422210
614015240030
72340062100
oct602360722
9231563420
10101310930
1152207446
1229b19016
1317cb23c6
14d652c70
158d630c0
hex609e1d2

101310930 has 72 divisors (see below), whose sum is σ = 306427212. Its totient is φ = 23155776.

The previous prime is 101310919. The next prime is 101310977. The reversal of 101310930 is 39013101.

It can be written as a sum of positive squares in 2 ways, for example, as 101183481 + 127449 = 10059^2 + 357^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7077 + ... + 15896.

Almost surely, 2101310930 is an apocalyptic number.

101310930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101310930 is an abundant number, since it is smaller than the sum of its proper divisors (205116282).

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

101310930 is a wasteful number, since it uses less digits than its factorization.

101310930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23000 (or 22990 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 101310930 is about 10065.3330794366. Note that the first 3 decimals coincide. The cubic root of 101310930 is about 466.1783503189.

The spelling of 101310930 in words is "one hundred one million, three hundred ten thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 22973 45946 68919 114865 137838 160811 206757 229730 321622 344595 413514 482433 689190 804055 964866 1033785 1125677 1447299 1608110 2067570 2251354 2412165 2894598 3377031 4824330 5628385 6754062 7236495 10131093 11256770 14472990 16885155 20262186 33770310 50655465 101310930