Search a number
-
+
313045123 = 1737213451
BaseRepresentation
bin10010101010001…
…011000010000011
3210211001100011211
4102222023002003
51120114420443
651021350551
710520560666
oct2252130203
9724040154
10313045123
11150784486
1288a08457
134cb17701
142d80b6dd
151c73919d
hex12a8b083

313045123 has 12 divisors (see below), whose sum is σ = 340685352. Its totient is φ = 286646400.

The previous prime is 313045087. The next prime is 313045151. The reversal of 313045123 is 321540313.

It is a de Polignac number, because none of the positive numbers 2k-313045123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313045094 and 313045103.

It is not an unprimeable number, because it can be changed into a prime (313045153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16548 + ... + 29998.

It is an arithmetic number, because the mean of its divisors is an integer number (28390446).

Almost surely, 2313045123 is an apocalyptic number.

313045123 is a deficient number, since it is larger than the sum of its proper divisors (27640229).

313045123 is a wasteful number, since it uses less digits than its factorization.

313045123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542 (or 13505 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 313045123 is about 17693.0812183746. The cubic root of 313045123 is about 678.9987593272.

Adding to 313045123 its reverse (321540313), we get a palindrome (634585436).

The spelling of 313045123 in words is "three hundred thirteen million, forty-five thousand, one hundred twenty-three".

Divisors: 1 17 37 629 1369 13451 23273 228667 497687 8460679 18414419 313045123