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13507380431 = 294767211701
BaseRepresentation
bin11001001010001101…
…00100010011001111
31021212100112000120022
430211012210103033
5210130342133211
610112154012355
7655503560606
oct144506442317
937770460508
1013507380431
115801622926
12274b7170bb
13137353c1cc
14921cc2a3d
15540c76bdb
hex3251a44cf

13507380431 has 32 divisors (see below), whose sum is σ = 14572846080. Its totient is φ = 12496176000.

The previous prime is 13507380401. The next prime is 13507380433. The reversal of 13507380431 is 13408370531.

It is a cyclic number.

It is not a de Polignac number, because 13507380431 - 210 = 13507379407 is a prime.

It is a super-2 number, since 2×135073804312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13507380391 and 13507380400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13507380433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19268381 + ... + 19269081.

It is an arithmetic number, because the mean of its divisors is an integer number (455401440).

Almost surely, 213507380431 is an apocalyptic number.

13507380431 is a deficient number, since it is larger than the sum of its proper divisors (1065465649).

13507380431 is a wasteful number, since it uses less digits than its factorization.

13507380431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 13507380431 in words is "thirteen billion, five hundred seven million, three hundred eighty thousand, four hundred thirty-one".

Divisors: 1 29 47 67 211 701 1363 1943 3149 6119 9917 14137 20329 32947 46967 91321 147911 287593 409973 664439 955463 1362043 2207449 4289419 6951817 9910037 19268731 64016021 201602693 287391073 465771739 13507380431