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313123010000 = 245431312301
BaseRepresentation
bin1001000111001111001…
…01011111010111010000
31002221020002012000012112
410203213211133113100
520112233442310000
6355502520444452
731423323445613
oct4434745372720
91087202160175
10313123010000
11110881859a09
1250828319728
13236b183c598
1411225d6c17a
15822980d235
hex48e795f5d0

313123010000 has 50 divisors (see below), whose sum is σ = 758102143722. Its totient is φ = 125249200000.

The previous prime is 313123009951. The next prime is 313123010003. The reversal of 313123010000 is 10321313.

It can be written as a sum of positive squares in 5 ways, for example, as 48507419536 + 264615590464 = 220244^2 + 514408^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15646151 + ... + 15666150.

Almost surely, 2313123010000 is an apocalyptic number.

It is an amenable number.

313123010000 is an abundant number, since it is smaller than the sum of its proper divisors (444979133722).

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

313123010000 is an equidigital number, since it uses as much as digits as its factorization.

313123010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31312329 (or 31312308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 313123010000 its reverse (10321313), we get a palindrome (313133331313).

The spelling of 313123010000 in words is "three hundred thirteen billion, one hundred twenty-three million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 31312301 62624602 125249204 156561505 250498408 313123010 500996816 626246020 782807525 1252492040 1565615050 2504984080 3131230100 3914037625 6262460200 7828075250 12524920400 15656150500 19570188125 31312301000 39140376250 62624602000 78280752500 156561505000 313123010000