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313230000000000 = 210351053197
BaseRepresentation
bin100011100111000011000101…
…0111000100000110000000000
31112002001111101021000201000010
41013032012022320200300000
5312023430020000000000
63030103513035024520
7122656056254134356
oct10716061270406000
91462044337021003
10313230000000000
1190894108124446
122b16a0a529b140
13105a1601774495
14574c5acd877d6
152632c70093d50
hex11ce18ae20c00

313230000000000 has 968 divisors, whose sum is σ = 1068677907800976. Its totient is φ = 81536000000000.

The previous prime is 313229999999929. The next prime is 313230000000017. The reversal of 313230000000000 is 32313.

It is a happy number.

It is a super-2 number, since 2×3132300000000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 87 ways as a sum of consecutive naturals, for example, 1589999999902 + ... + 1590000000098.

Almost surely, 2313230000000000 is an apocalyptic number.

313230000000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313230000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534338953900488).

313230000000000 is an abundant number, since it is smaller than the sum of its proper divisors (755447907800976).

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

313230000000000 is an frugal number, since it uses more digits than its factorization.

313230000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 313230000000000 its reverse (32313), we get a palindrome (313230000032313).

It can be divided in two parts, 3 and 13230000000000, that multiplied together give a square (39690000000000 = 63000002).

The spelling of 313230000000000 in words is "three hundred thirteen trillion, two hundred thirty billion", and thus it is an aban number.