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231005500032 = 2737116994987
BaseRepresentation
bin1101011100100100000…
…0000011001010000000
3211002021011121021121110
43113021000003022000
512241044402000112
6254042241323320
722455350231556
oct3271100031200
9732234537543
10231005500032
1189a7264529a
123892b336540
1318a25ac89b8
14b275ca9bd6
1560204b913c
hex35c9003280

231005500032 has 128 divisors (see below), whose sum is σ = 622741824000. Its totient is φ = 75857402880.

The previous prime is 231005500031. The next prime is 231005500051. The reversal of 231005500032 is 230005500132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 231005499981 and 231005500008.

It is not an unprimeable number, because it can be changed into a prime (231005500031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46319043 + ... + 46324029.

It is an arithmetic number, because the mean of its divisors is an integer number (4865170500).

Almost surely, 2231005500032 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 231005500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311370912000).

231005500032 is an abundant number, since it is smaller than the sum of its proper divisors (391736323968).

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

231005500032 is a wasteful number, since it uses less digits than its factorization.

231005500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 231005500032 in words is "two hundred thirty-one billion, five million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1699 1704 2272 3398 3408 4544 4987 5097 6796 6816 9088 9974 10194 13592 13632 14961 19948 20388 27184 27264 29922 39896 40776 54368 59844 79792 81552 108736 119688 120629 159584 163104 217472 239376 241258 319168 326208 354077 361887 478752 482516 638336 652416 708154 723774 957504 965032 1062231 1416308 1447548 1915008 1930064 2124462 2832616 2895096 3860128 4248924 5665232 5790192 7720256 8472913 8497848 11330464 11580384 15440512 16945826 16995696 22660928 23160768 25418739 33891652 33991392 45321856 46321536 50837478 67783304 67982784 101674956 135566608 135965568 203349912 271133216 406699824 542266432 601576823 813399648 1084532864 1203153646 1626799296 1804730469 2406307292 3253598592 3609460938 4812614584 7218921876 9625229168 14437843752 19250458336 28875687504 38500916672 57751375008 77001833344 115502750016 231005500032