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100220929728 = 2634326945127
BaseRepresentation
bin101110101010110100…
…0100000011011000000
3100120200120100201212020
41131111220200123000
53120223024222403
6114012454201440
710145365563333
oct1352550403300
9316616321766
10100220929728
113955a113957
121750b953280
1395b25143aa
144bca53061a
15291882a453
hex1755a206c0

100220929728 has 112 divisors (see below), whose sum is σ = 272349285120. Its totient is φ = 32508048384.

The previous prime is 100220929673. The next prime is 100220929751. The reversal of 100220929728 is 827929022001.

It is a self number, because there is not a number n which added to its sum of digits gives 100220929728.

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, 2198301 + ... + 2243427.

Almost surely, 2100220929728 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 100220929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136174642560).

100220929728 is an abundant number, since it is smaller than the sum of its proper divisors (172128355392).

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

100220929728 is a wasteful number, since it uses less digits than its factorization.

100220929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45454 (or 45444 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 100220929728 in words is "one hundred billion, two hundred twenty million, nine hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 269 344 516 538 688 807 1032 1076 1376 1614 2064 2152 2752 3228 4128 4304 6456 8256 8608 11567 12912 17216 23134 25824 34701 45127 46268 51648 69402 90254 92536 135381 138804 180508 185072 270762 277608 361016 370144 541524 555216 722032 740288 1083048 1110432 1444064 1940461 2166096 2220864 2888128 3880922 4332192 5821383 7761844 8664384 11642766 12139163 15523688 23285532 24278326 31047376 36417489 46571064 48556652 62094752 72834978 93142128 97113304 124189504 145669956 186284256 194226608 291339912 372568512 388453216 521984009 582679824 776906432 1043968018 1165359648 1565952027 2087936036 2330719296 3131904054 4175872072 6263808108 8351744144 12527616216 16703488288 25055232432 33406976576 50110464864 100220929728