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101075338832 = 24132131285343
BaseRepresentation
bin101111000100010001…
…1110100011001010000
3100122220010002012210212
41132020203310121100
53124000241320312
6114233335143252
710205512130066
oct1361043643120
9318803065725
10101075338832
1139958437086
1217709b14b28
1396ba537500
144c6bbc0036
15296884d822
hex17888f4650

101075338832 has 60 divisors (see below), whose sum is σ = 213675859584. Its totient is φ = 46293886080.

The previous prime is 101075338823. The next prime is 101075338853. The reversal of 101075338832 is 238833570101.

It is a self number, because there is not a number n which added to its sum of digits gives 101075338832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211553 + ... + 496895.

Almost surely, 2101075338832 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 101075338832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106837929792).

101075338832 is an abundant number, since it is smaller than the sum of its proper divisors (112600520752).

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

101075338832 is a wasteful number, since it uses less digits than its factorization.

101075338832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285508 (or 285489 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 101075338832 in words is "one hundred one billion, seventy-five million, three hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 131 169 208 262 338 524 676 1048 1352 1703 2096 2704 3406 6812 13624 22139 27248 44278 88556 177112 285343 354224 570686 1141372 2282744 3709459 4565488 7418918 14837836 29675672 37379933 48222967 59351344 74759866 96445934 149519732 192891868 299039464 385783736 485939129 598078928 771567472 971878258 1943756516 3887513032 6317208677 7775026064 12634417354 25268834708 50537669416 101075338832