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10113210320 = 245349362221
BaseRepresentation
bin10010110101100101…
…10101011111010000
3222002210210022111012
421122302311133100
5131202440212240
64351305110052
7505420604123
oct113262653720
928083708435
1010113210320
11431a709664
121b62a88328
13c522a7b25
146bd1d23ba
153e2cc1b65
hex25acb57d0

10113210320 has 40 divisors (see below), whose sum is σ = 23580652200. Its totient is φ = 4033681920.

The previous prime is 10113210319. The next prime is 10113210343. The reversal of 10113210320 is 2301231101.

It can be written as a sum of positive squares in 4 ways, for example, as 420414016 + 9692796304 = 20504^2 + 98452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10113210295 and 10113210304.

It is a congruent number.

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, 153191 + ... + 209030.

It is an arithmetic number, because the mean of its divisors is an integer number (589516305).

Almost surely, 210113210320 is an apocalyptic number.

10113210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113210320 is an abundant number, since it is smaller than the sum of its proper divisors (13467441880).

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

10113210320 is a wasteful number, since it uses less digits than its factorization.

10113210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362583 (or 362577 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10113210320 its reverse (2301231101), we get a palindrome (12414441421).

The spelling of 10113210320 in words is "ten billion, one hundred thirteen million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 6980 13960 27920 362221 724442 1448884 1811105 2897768 3622210 5795536 7244420 14488840 28977680 126415129 252830258 505660516 632075645 1011321032 1264151290 2022642064 2528302580 5056605160 10113210320