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20100331992 = 23313378592027
BaseRepresentation
bin10010101110000100…
…101011100111011000
31220212211022122212110
4102232010223213120
5312131141110432
613122311512320
71311051000666
oct225604534730
956784278773
1020100331992
118585127a24
123a8b6886a0
131b84406590
14d89761c36
157c9988dcc
hex4ae12b9d8

20100331992 has 128 divisors (see below), whose sum is σ = 55671033600. Its totient is φ = 6007592448.

The previous prime is 20100331981. The next prime is 20100332023. The reversal of 20100331992 is 29913300102.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9915283 + ... + 9917309.

It is an arithmetic number, because the mean of its divisors is an integer number (434929950).

Almost surely, 220100331992 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 20100331992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27835516800).

20100331992 is an abundant number, since it is smaller than the sum of its proper divisors (35570701608).

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

20100331992 is a wasteful number, since it uses less digits than its factorization.

20100331992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 20100331992 in words is "twenty billion, one hundred million, three hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 859 888 962 1443 1718 1924 2027 2577 2886 3436 3848 4054 5154 5772 6081 6872 8108 10308 11167 11544 12162 16216 20616 22334 24324 26351 31783 33501 44668 48648 52702 63566 67002 74999 79053 89336 95349 105404 127132 134004 149998 158106 190698 210808 224997 254264 268008 299996 316212 381396 413179 449994 599992 632424 762792 826358 899988 974987 1239537 1652716 1741193 1799976 1949974 2479074 2924961 3305432 3482386 3899948 4958148 5223579 5849922 6964772 7799896 9916296 10447158 11699844 13929544 20894316 22635509 23399688 41788632 45271018 64424141 67906527 90542036 128848282 135813054 181084072 193272423 257696564 271626108 386544846 515393128 543252216 773089692 837513833 1546179384 1675027666 2512541499 3350055332 5025082998 6700110664 10050165996 20100331992