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312103917 = 32372413889
BaseRepresentation
bin10010100110100…
…101001111101101
3210202021112002100
4102212211033231
51114344311132
650545245313
710506560646
oct2246451755
9722245070
10312103917
111501a1324
1288633839
134c878198
142d6446cd
151c60037c
hex129a53ed

312103917 has 24 divisors (see below), whose sum is σ = 465041720. Its totient is φ = 201553920.

The previous prime is 312103907. The next prime is 312103921. The reversal of 312103917 is 719301213.

It can be written as a sum of positive squares in 4 ways, for example, as 182007081 + 130096836 = 13491^2 + 11406^2 .

It is not a de Polignac number, because 312103917 - 28 = 312103661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312103907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78309 + ... + 82197.

Almost surely, 2312103917 is an apocalyptic number.

312103917 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

312103917 is a deficient number, since it is larger than the sum of its proper divisors (152937803).

312103917 is a wasteful number, since it uses less digits than its factorization.

312103917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 312103917 is about 17666.4630585751. The cubic root of 312103917 is about 678.3175803554.

The spelling of 312103917 in words is "three hundred twelve million, one hundred three thousand, nine hundred seventeen".

Divisors: 1 3 9 37 111 241 333 723 2169 3889 8917 11667 26751 35001 80253 143893 431679 937249 1295037 2811747 8435241 34678213 104034639 312103917