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3117623013 = 34172264069
BaseRepresentation
bin1011100111010011…
…0010011011100101
322001021100122210000
42321310302123211
522341102414023
61233205251513
7140154233631
oct27164623345
98037318700
103117623013
11135a8a934a
12730103b99
133a8b8855b
142180a3dc1
15133a7a243
hexb9d326e5

3117623013 has 20 divisors (see below), whose sum is σ = 4931144460. Its totient is φ = 1956154752.

The previous prime is 3117622987. The next prime is 3117623027. The reversal of 3117623013 is 3103267113.

3117623013 is a `hidden beast` number, since 31 + 1 + 7 + 623 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2648337444 + 469285569 = 51462^2 + 21663^2 .

It is not a de Polignac number, because 3117623013 - 217 = 3117491941 is a prime.

It is a super-3 number, since 3×31176230133 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117623063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1130658 + ... + 1133411.

It is an arithmetic number, because the mean of its divisors is an integer number (246557223).

Almost surely, 23117623013 is an apocalyptic number.

It is an amenable number.

3117623013 is a deficient number, since it is larger than the sum of its proper divisors (1813521447).

3117623013 is a wasteful number, since it uses less digits than its factorization.

3117623013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264098 (or 2264089 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3117623013 is about 55835.6786741238. The cubic root of 3117623013 is about 1460.8575391621.

The spelling of 3117623013 in words is "three billion, one hundred seventeen million, six hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 17 27 51 81 153 459 1377 2264069 6792207 20376621 38489173 61129863 115467519 183389589 346402557 1039207671 3117623013