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313132014 = 233131672671
BaseRepresentation
bin10010101010100…
…000001111101110
3210211012202101000
4102222200033232
51120130211024
651023301130
710521402216
oct2252401756
9724182330
10313132014
11150833798
1288a4a7a6
134cb48120
142d831246
151c754cc9
hex12aa03ee

313132014 has 64 divisors (see below), whose sum is σ = 754145280. Its totient is φ = 95735520.

The previous prime is 313131983. The next prime is 313132021. The reversal of 313132014 is 410231313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115899 + ... + 118569.

It is an arithmetic number, because the mean of its divisors is an integer number (11783520).

Almost surely, 2313132014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377072640).

313132014 is an abundant number, since it is smaller than the sum of its proper divisors (441013266).

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

313132014 is a wasteful number, since it uses less digits than its factorization.

313132014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313132014 is about 17695.5365558663. The cubic root of 313132014 is about 679.0615760683.

Adding to 313132014 its reverse (410231313), we get a palindrome (723363327).

The spelling of 313132014 in words is "three hundred thirteen million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 167 234 334 351 501 702 1002 1503 2171 2671 3006 4342 4509 5342 6513 8013 9018 13026 16026 19539 24039 34723 39078 48078 58617 69446 72117 104169 117234 144234 208338 312507 446057 625014 892114 937521 1338171 1875042 2676342 4014513 5798741 8029026 11597482 12043539 17396223 24087078 34792446 52188669 104377338 156566007 313132014