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1331133132 = 223715846823
BaseRepresentation
bin100111101010111…
…0111101011001100
310102202202120101010
41033111313223030
510211232230012
6340030445220
744662305420
oct11725675314
93382676333
101331133132
1162343202a
12311963810
13182a18954
14c8b06b80
157bcdec3c
hex4f577acc

1331133132 has 24 divisors (see below), whose sum is σ = 3549688576. Its totient is φ = 380323728.

The previous prime is 1331133113. The next prime is 1331133151. The reversal of 1331133132 is 2313311331.

It is an interprime number because it is at equal distance from previous prime (1331133113) and next prime (1331133151).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 1331133099 and 1331133108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7923328 + ... + 7923495.

Almost surely, 21331133132 is an apocalyptic number.

1331133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331133132 is an abundant number, since it is smaller than the sum of its proper divisors (2218555444).

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

1331133132 is a wasteful number, since it uses less digits than its factorization.

1331133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15846837 (or 15846835 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 1331133132 is about 36484.6972304828. The cubic root of 1331133132 is about 1100.0366742594.

Adding to 1331133132 its reverse (2313311331), we get a palindrome (3644444463).

It can be divided in two parts, 133 and 1133132, that added together give a triangular number (1133265 = T1505).

The spelling of 1331133132 in words is "one billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 15846823 31693646 47540469 63387292 95080938 110927761 190161876 221855522 332783283 443711044 665566566 1331133132