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313013021 = 6137313757
BaseRepresentation
bin10010101010000…
…011001100011101
3210210222201010212
4102222003030131
51120112404041
651020542205
710520365256
oct2252031435
9723881125
10313013021
11150762352
12889b1965
134cb05c09
142d7ddb2d
151c72e8eb
hex12a8331d

313013021 has 8 divisors (see below), whose sum is σ = 319020504. Its totient is φ = 307033920.

The previous prime is 313012949. The next prime is 313013023. The reversal of 313013021 is 120310313.

313013021 = T3173 + T3174 + ... + T3233.

It can be written as a sum of positive squares in 4 ways, for example, as 9765625 + 303247396 = 3125^2 + 17414^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313013021 - 214 = 312996637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313012987 and 313013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313013023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15875 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (39877563).

Almost surely, 2313013021 is an apocalyptic number.

It is an amenable number.

313013021 is a deficient number, since it is larger than the sum of its proper divisors (6007483).

313013021 is a wasteful number, since it uses less digits than its factorization.

313013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191.

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

The square root of 313013021 is about 17692.1740043444. The cubic root of 313013021 is about 678.9755486549.

Adding to 313013021 its reverse (120310313), we get a palindrome (433323334).

The spelling of 313013021 in words is "three hundred thirteen million, thirteen thousand, twenty-one".

Divisors: 1 61 373 13757 22753 839177 5131361 313013021