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1001311332 = 223711920373
BaseRepresentation
bin111011101011101…
…100110001100100
32120210010212220220
4323223230301210
54022313430312
6243205324340
733546002010
oct7353546144
92523125826
101001311332
1147423a02a
1223b4066b0
1312c5a9018
1496dad540
155cd8ec8c
hex3baecc64

1001311332 has 24 divisors (see below), whose sum is σ = 2670163776. Its totient is φ = 286088928.

The previous prime is 1001311291. The next prime is 1001311349. The reversal of 1001311332 is 2331131001.

It is a super-2 number, since 2×10013113322 = 2005248767183228448, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5960103 + ... + 5960270.

It is an arithmetic number, because the mean of its divisors is an integer number (111256824).

Almost surely, 21001311332 is an apocalyptic number.

1001311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001311332 is an abundant number, since it is smaller than the sum of its proper divisors (1668852444).

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

1001311332 is a wasteful number, since it uses less digits than its factorization.

1001311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920387 (or 11920385 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1001311332 is about 31643.5037882975. The cubic root of 1001311332 is about 1000.4369197400.

Adding to 1001311332 its reverse (2331131001), we get a palindrome (3332442333).

The spelling of 1001311332 in words is "one billion, one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11920373 23840746 35761119 47681492 71522238 83442611 143044476 166885222 250327833 333770444 500655666 1001311332