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1330660331 = 7111323291993
BaseRepresentation
bin100111101010000…
…0100001111101011
310102201212112210222
41033110010033223
510211122112311
6340012400255
744655266120
oct11724041753
93381775728
101330660331
11623139890
1231177608b
131828b16a0
14c8a22747
157bc49adb
hex4f5043eb

1330660331 has 64 divisors (see below), whose sum is σ = 1929553920. Its totient is φ = 883491840.

The previous prime is 1330660319. The next prime is 1330660333.

1330660331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1330660331 is a prime.

It is a super-2 number, since 2×13306603312 = 3541313832994059122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1330660331.

It is not an unprimeable number, because it can be changed into a prime (1330660333) 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, 666671 + ... + 668663.

It is an arithmetic number, because the mean of its divisors is an integer number (30149280).

Almost surely, 21330660331 is an apocalyptic number.

1330660331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330660331 is a deficient number, since it is larger than the sum of its proper divisors (598893589).

1330660331 is a wasteful number, since it uses less digits than its factorization.

1330660331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076.

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 1330660331 is about 36478.2172124680. The cubic root of 1330660331 is about 1099.9064193117.

It can be divided in two parts, 13306 and 60331, that added together give a palindrome (73637).

The spelling of 1330660331 in words is "one billion, three hundred thirty million, six hundred sixty thousand, three hundred thirty-one".

Divisors: 1 7 11 13 23 29 77 91 143 161 203 253 299 319 377 667 1001 1771 1993 2093 2233 2639 3289 4147 4669 7337 8671 13951 21923 23023 25909 29029 45839 51359 57797 60697 95381 153461 181363 284999 320873 404579 504229 595907 635767 667667 751361 1329331 1994993 3529603 4171349 4450369 5259527 6554977 8264971 9305317 14622641 17281303 45884839 57854797 102358487 120969121 190094333 1330660331