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311113100 = 22523111131
BaseRepresentation
bin10010100010110…
…011010110001100
3210200102011221102
4102202303112030
51114121104400
650512122232
710465263164
oct2242632614
9720364842
10311113100
1114a684971
1288236378
134c5bc1bc
142d4675a4
151c4a69d5
hex128b358c

311113100 has 18 divisors (see below), whose sum is σ = 675115644. Its totient is φ = 124445200.

The previous prime is 311113091. The next prime is 311113109. The reversal of 311113100 is 1311113.

It is a happy number.

311113100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (311113091) and next prime (311113109).

It is a super-2 number, since 2×3111131002 = 193582721983220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311113109) 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 5 ways as a sum of consecutive naturals, for example, 1555466 + ... + 1555665.

Almost surely, 2311113100 is an apocalyptic number.

It is an amenable number.

311113100 is an abundant number, since it is smaller than the sum of its proper divisors (364002544).

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

311113100 is a wasteful number, since it uses less digits than its factorization.

311113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111145 (or 3111138 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 311113100 is about 17638.3984533744. The cubic root of 311113100 is about 677.5990151350.

Adding to 311113100 its reverse (1311113), we get a palindrome (312424213).

The spelling of 311113100 in words is "three hundred eleven million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3111131 6222262 12444524 15555655 31111310 62222620 77778275 155556550 311113100