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313114212 = 223241307691
BaseRepresentation
bin10010101010011…
…011111001100100
3210211011211221200
4102222123321210
51120124123322
651023042500
710521266265
oct2252337144
9724154850
10313114212
11150821384
1288a40430
134cb3cca8
142d82896c
151c74e8ac
hex12a9be64

313114212 has 72 divisors (see below), whose sum is σ = 814605792. Its totient is φ = 101347200.

The previous prime is 313114201. The next prime is 313114231. The reversal of 313114212 is 212411313.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452787 + ... + 453477.

Almost surely, 2313114212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407302896).

313114212 is an abundant number, since it is smaller than the sum of its proper divisors (501491580).

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

313114212 is a wasteful number, since it uses less digits than its factorization.

313114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1044 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 313114212 is about 17695.0335405164. The cubic root of 313114212 is about 679.0487072858.

Adding to 313114212 its reverse (212411313), we get a palindrome (525525525).

The spelling of 313114212 in words is "three hundred thirteen million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 307 369 492 614 691 738 921 1228 1382 1476 1842 2073 2763 2764 3684 4146 5526 6219 8292 11052 12438 12587 24876 25174 28331 37761 50348 56662 75522 84993 113283 113324 151044 169986 212137 226566 254979 339972 424274 453132 509958 636411 848548 1019916 1272822 1909233 2545644 3818466 7636932 8697617 17395234 26092851 34790468 52185702 78278553 104371404 156557106 313114212