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313020114 = 23116771997
BaseRepresentation
bin10010101010000…
…100111011010010
3210211000001212120
4102222010323102
51120113120424
651021035110
710520425041
oct2252047322
9724001776
10313020114
11150767710
12889b5a96
134cb09204
142d802558
151c731a79
hex12a84ed2

313020114 has 64 divisors (see below), whose sum is σ = 703613952. Its totient is φ = 92030400.

The previous prime is 313020083. The next prime is 313020119. The reversal of 313020114 is 411020313.

It is a junction number, because it is equal to n+sod(n) for n = 313020093 and 313020102.

It is not an unprimeable number, because it can be changed into a prime (313020119) 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 31 ways as a sum of consecutive naturals, for example, 313464 + ... + 314460.

It is an arithmetic number, because the mean of its divisors is an integer number (10993968).

Almost surely, 2313020114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313020114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351806976).

313020114 is an abundant number, since it is smaller than the sum of its proper divisors (390593838).

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

313020114 is a wasteful number, since it uses less digits than its factorization.

313020114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313020114 is about 17692.3744590713. The cubic root of 313020114 is about 678.9806772351.

Adding to 313020114 its reverse (411020313), we get a palindrome (724040427).

The spelling of 313020114 in words is "three hundred thirteen million, twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 67 71 134 142 201 213 402 426 737 781 997 1474 1562 1994 2211 2343 2991 4422 4686 4757 5982 9514 10967 14271 21934 28542 32901 52327 65802 66799 70787 104654 133598 141574 156981 200397 212361 313962 400794 424722 734789 778657 1469578 1557314 2204367 2335971 4408734 4671942 4742729 9485458 14228187 28456374 52170019 104340038 156510057 313020114