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101245368 = 23375251
BaseRepresentation
bin1100000100011…
…10000110111000
321001111210112110
412002032012320
5201404322433
614014012320
72336400000
oct602160670
9231453473
10101245368
1152172164
1229aa70a0
1317c8b603
14d637000
158d4d963
hex608e1b8

101245368 has 96 divisors (see below), whose sum is σ = 296472960. Its totient is φ = 28812000.

The previous prime is 101245343. The next prime is 101245451. The reversal of 101245368 is 863542101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403243 + ... + 403493.

It is an arithmetic number, because the mean of its divisors is an integer number (3088260).

Almost surely, 2101245368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101245368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148236480).

101245368 is an abundant number, since it is smaller than the sum of its proper divisors (195227592).

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

101245368 is an frugal number, since it uses more digits than its factorization.

101245368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 101245368 is about 10062.0757301861. The cubic root of 101245368 is about 466.0777682780.

Adding to 101245368 its reverse (863542101), we get a palindrome (964787469).

The spelling of 101245368 in words is "one hundred one million, two hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 251 294 343 392 502 588 686 753 1004 1029 1176 1372 1506 1757 2008 2058 2401 2744 3012 3514 4116 4802 5271 6024 7028 7203 8232 9604 10542 12299 14056 14406 16807 19208 21084 24598 28812 33614 36897 42168 49196 50421 57624 67228 73794 86093 98392 100842 134456 147588 172186 201684 258279 295176 344372 403368 516558 602651 688744 1033116 1205302 1807953 2066232 2410604 3615906 4218557 4821208 7231812 8437114 12655671 14463624 16874228 25311342 33748456 50622684 101245368