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10032231120 = 2435191321851
BaseRepresentation
bin10010101011111011…
…11011001011010000
3221220011102010220120
421111331323023100
5131021222343440
64335253310240
7503415362142
oct112575731320
927804363816
1010032231120
114288a297aa
121b3b935380
13c3b593b42
146b2552c92
153dab27dd0
hex255f7b2d0

10032231120 has 80 divisors (see below), whose sum is σ = 31117597632. Its totient is φ = 2673740800.

The previous prime is 10032231119. The next prime is 10032231137. The reversal of 10032231120 is 2113223001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100322311202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10032231120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448195 + ... + 470045.

Almost surely, 210032231120 is an apocalyptic number.

10032231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032231120 is an abundant number, since it is smaller than the sum of its proper divisors (21085366512).

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

10032231120 is a wasteful number, since it uses less digits than its factorization.

10032231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23780 (or 23774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032231120 its reverse (2113223001), we get a palindrome (12145454121).

The spelling of 10032231120 in words is "ten billion, thirty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1913 3826 5739 7652 9565 11478 15304 19130 21851 22956 28695 30608 38260 43702 45912 57390 65553 76520 87404 91824 109255 114780 131106 153040 174808 218510 229560 262212 327765 349616 437020 459120 524424 655530 874040 1048848 1311060 1748080 2622120 5244240 41800963 83601926 125402889 167203852 209004815 250805778 334407704 418009630 501611556 627014445 668815408 836019260 1003223112 1254028890 1672038520 2006446224 2508057780 3344077040 5016115560 10032231120