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312311130 = 23594710993
BaseRepresentation
bin10010100111010…
…111110101011010
3210202200001022220
4102213113311122
51114422424010
650553524510
710511413035
oct2247276532
9722601286
10312311130
11150322a7a
1288713736
134c91b5b1
142d69a01c
151c641970
hex129d7d5a

312311130 has 32 divisors (see below), whose sum is σ = 750406464. Its totient is φ = 83187456.

The previous prime is 312311123. The next prime is 312311137. The reversal of 312311130 is 31113213.

It is an interprime number because it is at equal distance from previous prime (312311123) and next prime (312311137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (312311137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22914 + ... + 33906.

It is an arithmetic number, because the mean of its divisors is an integer number (23450202).

Almost surely, 2312311130 is an apocalyptic number.

312311130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312311130 is an abundant number, since it is smaller than the sum of its proper divisors (438095334).

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

312311130 is a wasteful number, since it uses less digits than its factorization.

312311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 312311130 is about 17672.3266719467. The cubic root of 312311130 is about 678.4676640491.

Adding to 312311130 its reverse (31113213), we get a palindrome (343424343).

The spelling of 312311130 in words is "three hundred twelve million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 947 1894 2841 4735 5682 9470 10993 14205 21986 28410 32979 54965 65958 109930 164895 329790 10410371 20820742 31231113 52051855 62462226 104103710 156155565 312311130