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1331023032 = 233243429917
BaseRepresentation
bin100111101010101…
…1100110010111000
310102202112222100100
41033111130302320
510211220214112
6340024235400
744661336423
oct11725346270
93382488310
101331023032
11623367339
1231190bb60
131829aa7c1
14c8ab89ba
157bcbc2dc
hex4f55ccb8

1331023032 has 48 divisors (see below), whose sum is σ = 3688696440. Its totient is φ = 433355328.

The previous prime is 1331023027. The next prime is 1331023061. The reversal of 1331023032 is 2303201331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331022996 and 1331023014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211863 + ... + 218054.

Almost surely, 21331023032 is an apocalyptic number.

1331023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331023032 is an abundant number, since it is smaller than the sum of its proper divisors (2357673408).

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

1331023032 is a wasteful number, since it uses less digits than its factorization.

1331023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429972 (or 429965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331023032 is about 36483.1883475115. The cubic root of 1331023032 is about 1100.0063448670.

Adding to 1331023032 its reverse (2303201331), we get a palindrome (3634224363).

It can be divided in two parts, 133 and 1023032, that added together give a triangular number (1023165 = T1430).

The spelling of 1331023032 in words is "one billion, three hundred thirty-one million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 429917 859834 1289751 1719668 2579502 3439336 3869253 5159004 7738506 10318008 15477012 18486431 30954024 36972862 55459293 73945724 110918586 147891448 166377879 221837172 332755758 443674344 665511516 1331023032