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101294838372 = 22371392760841
BaseRepresentation
bin101111001010110100…
…1001001001001100100
3100200110102002221120110
41132111221021021210
53124422434311442
6114311215533020
710214115630330
oct1362551111144
9320412087513
10101294838372
1139a60328362
121776b52a170
139723b5b1b0
144c8cdda7c0
15297cc5a69c
hex1795a49264

101294838372 has 48 divisors (see below), whose sum is σ = 290898000512. Its totient is φ = 26715121920.

The previous prime is 101294838367. The next prime is 101294838383. The reversal of 101294838372 is 273838492101.

It is a happy number.

It is a super-2 number, since 2×1012948383722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46379329 + ... + 46381512.

Almost surely, 2101294838372 is an apocalyptic number.

101294838372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101294838372 is an abundant number, since it is smaller than the sum of its proper divisors (189603162140).

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

101294838372 is a wasteful number, since it uses less digits than its factorization.

101294838372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92760868 (or 92760866 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 101294838372 in words is "one hundred one billion, two hundred ninety-four million, eight hundred thirty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 92760841 185521682 278282523 371043364 556565046 649325887 1113130092 1205890933 1298651774 1947977661 2411781866 2597303548 3617672799 3895955322 4823563732 7235345598 7791910644 8441236531 14470691196 16882473062 25323709593 33764946124 50647419186 101294838372