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101234882208 = 2534783270323
BaseRepresentation
bin101111001001000010…
…0011011011010100000
3100200022020021212011210
41132102010123122200
53124312112212313
6114301234510120
710212460205115
oct1362204333240
9320266255153
10101234882208
1139a2a4a7409
1217753435340
1397145c8185
144c8507090c
1529778659c3
hex179211b6a0

101234882208 has 96 divisors (see below), whose sum is σ = 274666484736. Its totient is φ = 32628946688.

The previous prime is 101234882171. The next prime is 101234882299. The reversal of 101234882208 is 802288432101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239335 + ... + 509657.

It is an arithmetic number, because the mean of its divisors is an integer number (2861109216).

Almost surely, 2101234882208 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 101234882208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137333242368).

101234882208 is an abundant number, since it is smaller than the sum of its proper divisors (173431602528).

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

101234882208 is a wasteful number, since it uses less digits than its factorization.

101234882208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270466 (or 270458 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 101234882208 in words is "one hundred one billion, two hundred thirty-four million, eight hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 83 94 96 141 166 188 249 282 332 376 498 564 664 752 996 1128 1328 1504 1992 2256 2656 3901 3984 4512 7802 7968 11703 15604 23406 31208 46812 62416 93624 124832 187248 270323 374496 540646 810969 1081292 1621938 2162584 3243876 4325168 6487752 8650336 12705181 12975504 22436809 25410362 25951008 38115543 44873618 50820724 67310427 76231086 89747236 101641448 134620854 152462172 179494472 203282896 269241708 304924344 358988944 406565792 538483416 609848688 717977888 1054530023 1076966832 1219697376 2109060046 2153933664 3163590069 4218120092 6327180138 8436240184 12654360276 16872480368 25308720552 33744960736 50617441104 101234882208