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312331331430 = 23358111142619
BaseRepresentation
bin1001000101110000110…
…01011110011101100110
31002212011220111120101000
410202320121132131212
520104123310101210
6355252200214130
731364601341046
oct4427031363546
91085156446330
10312331331430
111105059920a8
125064716a346
13235b6811221
141118cb6b726
1581d007bac0
hex48b865e766

312331331430 has 64 divisors (see below), whose sum is σ = 832992076800. Its totient is φ = 83277502560.

The previous prime is 312331331399. The next prime is 312331331497. The reversal of 312331331430 is 34133133213.

312331331430 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 313 + 314 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312331331394 and 312331331403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118661 + ... + 2261279.

It is an arithmetic number, because the mean of its divisors is an integer number (13015501200).

Almost surely, 2312331331430 is an apocalyptic number.

312331331430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312331331430 is an abundant number, since it is smaller than the sum of its proper divisors (520660745370).

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

312331331430 is a wasteful number, since it uses less digits than its factorization.

312331331430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150746 (or 150740 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 312331331430 its reverse (34133133213), we get a palindrome (346464464643).

The spelling of 312331331430 in words is "three hundred twelve billion, three hundred thirty-one million, three hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 8111 16222 24333 40555 48666 72999 81110 121665 142619 145998 218997 243330 285238 364995 427857 437994 713095 729990 855714 1094985 1283571 1426190 2139285 2189970 2567142 3850713 4278570 6417855 7701426 12835710 19253565 38507130 1156782709 2313565418 3470348127 5783913545 6940696254 10411044381 11567827090 17351740635 20822088762 31233133143 34703481270 52055221905 62466266286 104110443810 156165665715 312331331430