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1313211132 = 223251537079
BaseRepresentation
bin100111001000110…
…0000001011111100
310101112001001000100
41032101200023330
510142140224012
6334150401100
744354052612
oct11621401374
93345031010
101313211132
11614300a62
12307960190
1317c0b230c
14c659d6b2
157a44e8dc
hex4e4602fc

1313211132 has 36 divisors (see below), whose sum is σ = 3320619120. Its totient is φ = 437590272.

The previous prime is 1313211131. The next prime is 1313211139. The reversal of 1313211132 is 2311123131.

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 (1313211131) 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, 181969 + ... + 189047.

It is an arithmetic number, because the mean of its divisors is an integer number (92239420).

Almost surely, 21313211132 is an apocalyptic number.

1313211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313211132 is an abundant number, since it is smaller than the sum of its proper divisors (2007407988).

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

1313211132 is a wasteful number, since it uses less digits than its factorization.

1313211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12242 (or 12237 counting only the distinct ones).

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

The square root of 1313211132 is about 36238.2550904428. The cubic root of 1313211132 is about 1095.0774899812.

Adding to 1313211132 its reverse (2311123131), we get a palindrome (3624334263).

The spelling of 1313211132 in words is "one billion, three hundred thirteen million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5153 7079 10306 14158 15459 20612 21237 28316 30918 42474 46377 61836 63711 84948 92754 127422 185508 254844 36478087 72956174 109434261 145912348 218868522 328302783 437737044 656605566 1313211132