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311013131 = 111359191193
BaseRepresentation
bin10010100010011…
…010111100001011
3210200020002210212
4102202122330023
51114104410011
650510031335
710464365552
oct2242327413
9720202725
10311013131
1114a616850
12881a854b
134c585850
142d43cd99
151c48708b
hex1289af0b

311013131 has 32 divisors (see below), whose sum is σ = 375459840. Its totient is φ = 253900800.

The previous prime is 311013103. The next prime is 311013133. The reversal of 311013131 is 131310113.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 311013131 - 26 = 311013067 is a prime.

It is a super-2 number, since 2×3110131312 = 193458335308846322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311013133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611371 + ... + 1611563.

It is an arithmetic number, because the mean of its divisors is an integer number (11733120).

Almost surely, 2311013131 is an apocalyptic number.

311013131 is a deficient number, since it is larger than the sum of its proper divisors (64446709).

311013131 is a wasteful number, since it uses less digits than its factorization.

311013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 311013131 is about 17635.5643799681. The cubic root of 311013131 is about 677.5264304354.

Adding to 311013131 its reverse (131310113), we get a palindrome (442323244).

The spelling of 311013131 in words is "three hundred eleven million, thirteen thousand, one hundred thirty-one".

Divisors: 1 11 13 59 143 191 193 649 767 2101 2123 2483 2509 8437 11269 11387 27313 27599 36863 123959 125257 146497 148031 405493 479219 1611467 1628341 2174917 5271409 23924087 28273921 311013131