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313032213000000 = 263256138113299
BaseRepresentation
bin100011100101100110111110…
…1110110111110111101000000
31112001100120212010220001210200
41013023031331312332331000
5312012204433012000000
63025433002521125200
7122635555024312404
oct10713157566767500
91461316763801720
10313032213000000
119081824156196a
122b1378a6929800
1310588a70a88b80
145742ba8b69104
15262ca46058500
hex11cb37ddbef40

313032213000000 has 1176 divisors, whose sum is σ = 1209677375306400. Its totient is φ = 76935744000000.

The previous prime is 313032212999969. The next prime is 313032213000043. The reversal of 313032213000000 is 312230313.

313032213000000 is a `hidden beast` number, since 313 + 0 + 32 + 21 + 300 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 94886998351 + ... + 94887001649.

It is an arithmetic number, because the mean of its divisors is an integer number (1028637223900).

Almost surely, 2313032213000000 is an apocalyptic number.

313032213000000 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 313032213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604838687653200).

313032213000000 is an abundant number, since it is smaller than the sum of its proper divisors (896645162306400).

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

313032213000000 is an equidigital number, since it uses as much as digits as its factorization.

313032213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313032213000000 its reverse (312230313), we get a palindrome (313032525230313).

The spelling of 313032213000000 in words is "three hundred thirteen trillion, thirty-two billion, two hundred thirteen million", and thus it is an aban number.