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1331000000 = 2656113
BaseRepresentation
bin100111101010101…
…0111001011000000
310102202111210202022
41033111113023000
510211214000000
6340023541012
744661212321
oct11725271300
93382453668
101331000000
11623351000
123118ba768
131829a0185
14c8ab0448
157bcb5585
hex4f5572c0

1331000000 has 196 divisors, whose sum is σ = 3631359768. Its totient is φ = 484000000.

The previous prime is 1330999997. The next prime is 1331000017. The reversal of 1331000000 is 1331.

The cubic root of 1331000000 is 1100.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×13310000002 = 3543122000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 120999995 + ... + 121000005.

Almost surely, 21331000000 is an apocalyptic number.

1331000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815679884).

1331000000 is an abundant number, since it is smaller than the sum of its proper divisors (2300359768).

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

1331000000 is an frugal number, since it uses more digits than its factorization.

1331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1331000000 is about 36482.8726939094.

Adding to 1331000000 its reverse (1331), we get a palindrome (1331001331).

Multiplying 1331000000 by its reverse (1331), we get a 6-th power (1771561000000 = 1106).

1331000000 divided by its reverse (1331) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 13 and 31000000, that added together give a palindrome (31000013).

The spelling of 1331000000 in words is "one billion, three hundred thirty-one million", and thus it is an aban number.