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13013132310 = 2325144590359
BaseRepresentation
bin11000001111010010…
…01010010000010110
31020120220111121121100
430013221022100112
5203122330213220
65551140330530
7640322541153
oct140751122026
936526447540
1013013132310
115578634a02
1226320a3a46
1312c501c1b9
148b63c722a
15512697d90
hex307a4a416

13013132310 has 24 divisors (see below), whose sum is σ = 33834144240. Its totient is φ = 3470168592.

The previous prime is 13013132299. The next prime is 13013132317. The reversal of 13013132310 is 1323131031.

It is a happy number.

13013132310 is a `hidden beast` number, since 1 + 301 + 31 + 323 + 10 = 666.

It is a super-2 number, since 2×130131323102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013132317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72295090 + ... + 72295269.

It is an arithmetic number, because the mean of its divisors is an integer number (1409756010).

Almost surely, 213013132310 is an apocalyptic number.

13013132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13013132310 is an abundant number, since it is smaller than the sum of its proper divisors (20821011930).

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

13013132310 is a wasteful number, since it uses less digits than its factorization.

13013132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144590372 (or 144590369 counting only the distinct ones).

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

Adding to 13013132310 its reverse (1323131031), we get a palindrome (14336263341).

The spelling of 13013132310 in words is "thirteen billion, thirteen million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 144590359 289180718 433771077 722951795 867542154 1301313231 1445903590 2168855385 2602626462 4337710770 6506566155 13013132310