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312187993 = 131923179307
BaseRepresentation
bin10010100110111…
…001110001011001
3210202102210102021
4102212321301121
51114410003433
650551134441
710510361035
oct2246716131
9722383367
10312187993
11150249507
1288674421
134c8a7530
142d6671c5
151c61a22d
hex129b9c59

312187993 has 32 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 258831936.

The previous prime is 312187979. The next prime is 312188029. The reversal of 312187993 is 399781213.

It is a cyclic number.

It is not a de Polignac number, because 312187993 - 25 = 312187961 is a prime.

It is a super-2 number, since 2×3121879932 = 194922685946736098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312187913) 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, 1016746 + ... + 1017052.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2312187993 is an apocalyptic number.

It is an amenable number.

312187993 is a deficient number, since it is larger than the sum of its proper divisors (60368807).

312187993 is a wasteful number, since it uses less digits than its factorization.

312187993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541.

The product of its digits is 81648, while the sum is 43.

The square root of 312187993 is about 17668.8424352021. The cubic root of 312187993 is about 678.3784843316.

The spelling of 312187993 in words is "three hundred twelve million, one hundred eighty-seven thousand, nine hundred ninety-three".

Divisors: 1 13 19 23 179 247 299 307 437 2327 3401 3991 4117 5681 5833 7061 44213 53521 54953 75829 78223 91793 134159 714389 1016899 1044107 1263919 1744067 13573391 16430947 24014461 312187993