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13013311312 = 242355763487
BaseRepresentation
bin11000001111010011…
…10101111101010000
31020120220211201011001
430013221311331100
5203122401430222
65551144231344
7640324215061
oct140751657520
936526751131
1013013311312
115578747441
12263216b554
1312c5082811
148b6432568
155126d0e27
hex307a75f50

13013311312 has 40 divisors (see below), whose sum is σ = 26357170176. Its totient is φ = 6212486016.

The previous prime is 13013311291. The next prime is 13013311319. The reversal of 13013311312 is 21311331031.

It is a super-2 number, since 2×130133113122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13013311312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013311319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173233 + ... + 236719.

Almost surely, 213013311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178585088).

13013311312 is an abundant number, since it is smaller than the sum of its proper divisors (13343858864).

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

13013311312 is a wasteful number, since it uses less digits than its factorization.

13013311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64075 (or 64069 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13013311312 its reverse (21311331031), we get a palindrome (34324642343).

The spelling of 13013311312 in words is "thirteen billion, thirteen million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 557 1114 2228 4456 8912 12811 25622 51244 63487 102488 126974 204976 253948 507896 1015792 1460201 2920402 5840804 11681608 23363216 35362259 70724518 141449036 282898072 565796144 813331957 1626663914 3253327828 6506655656 13013311312