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1311013332 = 223236417037
BaseRepresentation
bin100111000100100…
…0111100111010100
310101100220101012100
41032021013213110
510141104411312
6334031322100
744326300206
oct11611074724
93340811170
101311013332
1161303a7a2
12307080330
1317b7c2b45
14c618a776
157a1685dc
hex4e2479d4

1311013332 has 18 divisors (see below), whose sum is σ = 3313950458. Its totient is φ = 437004432.

The previous prime is 1311013331. The next prime is 1311013349. The reversal of 1311013332 is 2333101131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 956293776 + 354719556 = 30924^2 + 18834^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311013331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18208483 + ... + 18208554.

Almost surely, 21311013332 is an apocalyptic number.

1311013332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311013332 is an abundant number, since it is smaller than the sum of its proper divisors (2002937126).

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

1311013332 is a wasteful number, since it uses less digits than its factorization.

1311013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36417047 (or 36417042 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311013332 is about 36207.9180843086. The cubic root of 1311013332 is about 1094.4662388892.

Adding to 1311013332 its reverse (2333101131), we get a palindrome (3644114463).

The spelling of 1311013332 in words is "one billion, three hundred eleven million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 36417037 72834074 109251111 145668148 218502222 327753333 437004444 655506666 1311013332