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10112112320 = 26554158411
BaseRepresentation
bin10010110101011101…
…01001011011000000
3222002201201112022112
421122232221123000
5131202200043240
64351225354452
7505405352012
oct113256513300
928081645275
1010112112320
11431a029722
121b62638a28
13c51cb211b
146bcdc81b2
153e2b56665
hex25aba96c0

10112112320 has 56 divisors (see below), whose sum is σ = 24124389648. Its totient is φ = 4037299200.

The previous prime is 10112112299. The next prime is 10112112347. The reversal of 10112112320 is 2321121101.

It is a junction number, because it is equal to n+sod(n) for n = 10112112295 and 10112112304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143915 + ... + 202325.

Almost surely, 210112112320 is an apocalyptic number.

10112112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062194824).

10112112320 is an abundant number, since it is smaller than the sum of its proper divisors (14012277328).

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

10112112320 is an equidigital number, since it uses as much as digits as its factorization.

10112112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58969 (or 58959 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10112112320 its reverse (2321121101), we get a palindrome (12433233421).

The spelling of 10112112320 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 541 1082 2164 2705 4328 5410 8656 10820 17312 21640 34624 43280 58411 86560 116822 173120 233644 292055 467288 584110 934576 1168220 1869152 2336440 3738304 4672880 9345760 18691520 31600351 63200702 126401404 158001755 252802808 316003510 505605616 632007020 1011211232 1264014040 2022422464 2528028080 5056056160 10112112320