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313420100 = 22527447743
BaseRepresentation
bin10010101011100…
…110100101000100
3210211202101112212
4102223212211010
51120213420400
651033402552
710524012140
oct2253464504
9724671485
10313420100
11150a10184
1288b69458
134cc192a6
142d8a8220
151c7b0335
hex12ae6944

313420100 has 36 divisors (see below), whose sum is σ = 777283584. Its totient is φ = 107458080.

The previous prime is 313420073. The next prime is 313420117. The reversal of 313420100 is 1024313.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223172 + ... + 224571.

Almost surely, 2313420100 is an apocalyptic number.

It is an amenable number.

313420100 is an abundant number, since it is smaller than the sum of its proper divisors (463863484).

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

313420100 is a wasteful number, since it uses less digits than its factorization.

313420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447764 (or 447757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 313420100 is about 17703.6747597780. The cubic root of 313420100 is about 679.2697610739.

Adding to 313420100 its reverse (1024313), we get a palindrome (314444413).

The spelling of 313420100 in words is "three hundred thirteen million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 447743 895486 1790972 2238715 3134201 4477430 6268402 8954860 11193575 12536804 15671005 22387150 31342010 44774300 62684020 78355025 156710050 313420100