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10013313132 = 223215118110177
BaseRepresentation
bin10010101001101011…
…10000100001101100
3221211211211000022100
421110311300201230
5131001402010012
64333340015100
7503065520514
oct112465604154
927754730270
1010013313132
1142792883a9
121b35531490
13c3769c074
146adc2a844
153d913c8dc
hex254d7086c

10013313132 has 72 divisors (see below), whose sum is σ = 25622341472. Its totient is φ = 3297024000.

The previous prime is 10013313127. The next prime is 10013313133. The reversal of 10013313132 is 23131331001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10013313133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978828 + ... + 989004.

Almost surely, 210013313132 is an apocalyptic number.

10013313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10013313132 is an abundant number, since it is smaller than the sum of its proper divisors (15609028340).

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

10013313132 is a wasteful number, since it uses less digits than its factorization.

10013313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10013313132 its reverse (23131331001), we get a palindrome (33144644133).

It can be divided in two parts, 1001 and 3313132, that added together give a palindrome (3314133).

The spelling of 10013313132 in words is "ten billion, thirteen million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 181 302 362 453 543 604 724 906 1086 1359 1629 1812 2172 2718 3258 5436 6516 10177 20354 27331 30531 40708 54662 61062 81993 91593 109324 122124 163986 183186 245979 327972 366372 491958 983916 1536727 1842037 3073454 3684074 4610181 5526111 6146908 7368148 9220362 11052222 13830543 16578333 18440724 22104444 27661086 33156666 55322172 66313332 278147587 556295174 834442761 1112590348 1668885522 2503328283 3337771044 5006656566 10013313132