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311106131 = 753838561
BaseRepresentation
bin10010100010110…
…001101001010011
3210200101211101022
4102202301221103
51114120344011
650512030055
710465233650
oct2242615123
9720354338
10311106131
1114a67a706
128823232b
134c5b8c8b
142d464c27
151c4a48db
hex128b1a53

311106131 has 8 divisors (see below), whose sum is σ = 362258784. Its totient is φ = 261630720.

The previous prime is 311106127. The next prime is 311106139. The reversal of 311106131 is 131601113.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311106131 - 22 = 311106127 is a prime.

It is a super-3 number, since 3×3111061313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311106139) 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 7 ways as a sum of consecutive naturals, for example, 418910 + ... + 419651.

It is an arithmetic number, because the mean of its divisors is an integer number (45282348).

Almost surely, 2311106131 is an apocalyptic number.

311106131 is a deficient number, since it is larger than the sum of its proper divisors (51152653).

311106131 is an equidigital number, since it uses as much as digits as its factorization.

311106131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838621.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 311106131 is about 17638.2009003186. The cubic root of 311106131 is about 677.5939556429.

Adding to 311106131 its reverse (131601113), we get a palindrome (442707244).

The spelling of 311106131 in words is "three hundred eleven million, one hundred six thousand, one hundred thirty-one".

Divisors: 1 7 53 371 838561 5869927 44443733 311106131