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313224040100 = 22523132240401
BaseRepresentation
bin1001000111011011001…
…10111000111010100100
31002221111010021212110002
410203231212320322210
520112440323240400
6355520530120432
731425661261166
oct4435546707244
91087433255402
10313224040100
11110923894364
1250856120118
13236c9753bca
141123554a936
158233617ed5
hex48ed9b8ea4

313224040100 has 18 divisors (see below), whose sum is σ = 679696167234. Its totient is φ = 125289616000.

The previous prime is 313224040081. The next prime is 313224040109. The reversal of 313224040100 is 1040422313.

It can be written as a sum of positive squares in 3 ways, for example, as 12946343524 + 300277696576 = 113782^2 + 547976^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (313224040109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1566120101 + ... + 1566120300.

Almost surely, 2313224040100 is an apocalyptic number.

It is an amenable number.

313224040100 is an abundant number, since it is smaller than the sum of its proper divisors (366472127134).

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

313224040100 is a wasteful number, since it uses less digits than its factorization.

313224040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132240415 (or 3132240408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 313224040100 its reverse (1040422313), we get a palindrome (314264462413).

The spelling of 313224040100 in words is "three hundred thirteen billion, two hundred twenty-four million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3132240401 6264480802 12528961604 15661202005 31322404010 62644808020 78306010025 156612020050 313224040100