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313002312 = 23375335153
BaseRepresentation
bin10010101010000…
…000100101001000
3210210222011110020
4102222000211020
51120112033222
651020420440
710520322120
oct2252004510
9723864406
10313002312
111507552a7
12889a7720
134cb0108c
142d7d9c80
151c72b65c
hex12a80948

313002312 has 64 divisors (see below), whose sum is σ = 911191680. Its totient is φ = 87739392.

The previous prime is 313002311. The next prime is 313002337. The reversal of 313002312 is 213200313.

313002312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313002291 and 313002300.

It is not an unprimeable number, because it can be changed into a prime (313002311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8673 + ... + 26480.

It is an arithmetic number, because the mean of its divisors is an integer number (14237370).

Almost surely, 2313002312 is an apocalyptic number.

It is an amenable number.

313002312 is an abundant number, since it is smaller than the sum of its proper divisors (598189368).

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

313002312 is a wasteful number, since it uses less digits than its factorization.

313002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35222 (or 35218 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313002312 is about 17691.8713538167. The cubic root of 313002312 is about 678.9678053859.

Adding to 313002312 its reverse (213200313), we get a palindrome (526202625).

The spelling of 313002312 in words is "three hundred thirteen million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 35153 70306 105459 140612 210918 246071 281224 421836 492142 738213 843672 984284 1476426 1863109 1968568 2952852 3726218 5589327 5905704 7452436 11178654 13041763 14904872 22357308 26083526 39125289 44714616 52167052 78250578 104334104 156501156 313002312