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1311131322 = 23272840629
BaseRepresentation
bin100111000100110…
…0100011010111010
310101101010101001100
41032021210122322
510141122200242
6334034032230
744330301204
oct11611443272
93341111040
101311131322
11613110406
12307118676
1317b834767
14c61bb774
157a18d54c
hex4e2646ba

1311131322 has 12 divisors (see below), whose sum is σ = 2840784570. Its totient is φ = 437043768.

The previous prime is 1311131303. The next prime is 1311131387. The reversal of 1311131322 is 2231311131.

1311131322 is a `hidden beast` number, since 1 + 311 + 1 + 31 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1048399641 + 262731681 = 32379^2 + 16209^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 72840629 = 1311131322 / (1 + 3 + 1 + 1 + 1 + 3 + 1 + 3 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1311131295 and 1311131304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36420297 + ... + 36420332.

Almost surely, 21311131322 is an apocalyptic number.

1311131322 is an abundant number, since it is smaller than the sum of its proper divisors (1529653248).

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

1311131322 is a wasteful number, since it uses less digits than its factorization.

1311131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72840637 (or 72840634 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311131322 is about 36209.5473873949. The cubic root of 1311131322 is about 1094.4990715576.

Adding to 1311131322 its reverse (2231311131), we get a palindrome (3542442453).

The spelling of 1311131322 in words is "one billion, three hundred eleven million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 72840629 145681258 218521887 437043774 655565661 1311131322