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1330131000 = 2335311172371
BaseRepresentation
bin100111101001000…
…0011000000111000
310102200212122201010
41033102003000320
510211003143000
6335553153520
744650632642
oct11722030070
93380778633
101330131000
11622908120
1231155b8a0
13182757783
14c8925892
157bb92d50
hex4f483038

1330131000 has 256 divisors, whose sum is σ = 4795614720. Its totient is φ = 303360000.

The previous prime is 1330130957. The next prime is 1330131007. The reversal of 1330131000 is 1310331.

It is a super-2 number, since 2×13301310002 = 3538496954322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330131007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559815 + ... + 562185.

It is an arithmetic number, because the mean of its divisors is an integer number (18732870).

Almost surely, 21330131000 is an apocalyptic number.

1330131000 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 1330131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397807360).

1330131000 is an abundant number, since it is smaller than the sum of its proper divisors (3465483720).

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

1330131000 is a wasteful number, since it uses less digits than its factorization.

1330131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1330131000 is about 36470.9610512254. The cubic root of 1330131000 is about 1099.7605539422.

Adding to 1330131000 its reverse (1310331), we get a palindrome (1331441331).

The spelling of 1330131000 in words is "one billion, three hundred thirty million, one hundred thirty-one thousand".