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101052485772 = 22372239719071
BaseRepresentation
bin101111000011100110…
…0101001000010001100
3100122211112002011022020
41132013030221002030
53123423414021042
6114231201250140
710205113646100
oct1360714510214
9318745064266
10101052485772
1139946548257
1217702333950
1396b58955a4
144c68b51900
1529668373ec
hex178732908c

101052485772 has 72 divisors (see below), whose sum is σ = 275433338880. Its totient is φ = 28751294880.

The previous prime is 101052485767. The next prime is 101052485791. The reversal of 101052485772 is 277584250101.

101052485772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219004 + ... + 500067.

It is an arithmetic number, because the mean of its divisors is an integer number (3825463040).

Almost surely, 2101052485772 is an apocalyptic number.

101052485772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101052485772 is an abundant number, since it is smaller than the sum of its proper divisors (174380853108).

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

101052485772 is a wasteful number, since it uses less digits than its factorization.

101052485772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719331 (or 719322 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 101052485772 in words is "one hundred one billion, fifty-two million, four hundred eighty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 239 294 478 588 717 956 1434 1673 2868 3346 5019 6692 10038 11711 20076 23422 35133 46844 70266 140532 719071 1438142 2157213 2876284 4314426 5033497 8628852 10066994 15100491 20133988 30200982 35234479 60401964 70468958 105703437 140937916 171857969 211406874 343715938 422813748 515573907 687431876 1031147814 1203005783 2062295628 2406011566 3609017349 4812023132 7218034698 8421040481 14436069396 16842080962 25263121443 33684161924 50526242886 101052485772