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312435224130 = 23533730903583
BaseRepresentation
bin1001000101111101001…
…01110010111001000010
31002212110010222212100210
410202332211302321002
520104331404133010
6355310351054550
731400302405161
oct4427645627102
91085403885323
10312435224130
111105595a2237
1250675b11456
13236021b87b3
141119c8933d8
1581d924eb20
hex48be972e42

312435224130 has 32 divisors (see below), whose sum is σ = 752069620224. Its totient is φ = 83068828416.

The previous prime is 312435224069. The next prime is 312435224131. The reversal of 312435224130 is 31422534213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312435224131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15441682 + ... + 15461901.

It is an arithmetic number, because the mean of its divisors is an integer number (23502175632).

Almost surely, 2312435224130 is an apocalyptic number.

312435224130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312435224130 is an abundant number, since it is smaller than the sum of its proper divisors (439634396094).

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

312435224130 is a wasteful number, since it uses less digits than its factorization.

312435224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30903930.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 312435224130 its reverse (31422534213), we get a palindrome (343857758343).

The spelling of 312435224130 in words is "three hundred twelve billion, four hundred thirty-five million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 337 674 1011 1685 2022 3370 5055 10110 30903583 61807166 92710749 154517915 185421498 309035830 463553745 927107490 10414507471 20829014942 31243522413 52072537355 62487044826 104145074710 156217612065 312435224130