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311123412 = 223222933769
BaseRepresentation
bin10010100010110…
…101110111010100
3210200102201002100
4102202311313110
51114121422122
650512242100
710465335225
oct2242656724
9720381070
10311123412
1114a691696
1288240330
134c5c3ac2
142d46b24c
151c4a9aac
hex128b5dd4

311123412 has 36 divisors (see below), whose sum is σ = 787002580. Its totient is φ = 103635072.

The previous prime is 311123399. The next prime is 311123419. The reversal of 311123412 is 214321113.

311123412 is a `hidden beast` number, since 311 + 12 + 341 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177582276 + 133541136 = 13326^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311123419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80664 + ... + 84432.

Almost surely, 2311123412 is an apocalyptic number.

It is an amenable number.

311123412 is an abundant number, since it is smaller than the sum of its proper divisors (475879168).

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

311123412 is a wasteful number, since it uses less digits than its factorization.

311123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6067 counting only the distinct ones).

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

The square root of 311123412 is about 17638.6907677412. The cubic root of 311123412 is about 677.6065015055.

Adding to 311123412 its reverse (214321113), we get a palindrome (525444525).

The spelling of 311123412 in words is "three hundred eleven million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2293 3769 4586 6879 7538 9172 11307 13758 15076 20637 22614 27516 33921 41274 45228 67842 82548 135684 8642317 17284634 25926951 34569268 51853902 77780853 103707804 155561706 311123412