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13002330111331 = 1197104651116443
BaseRepresentation
bin1011110100110101011101…
…0001000111110101100011
31201001000021202000110010011
42331031113101013311203
53201012233002030311
643353104334545351
72511246601254031
oct275152721076543
951030252013104
1013002330111331
114163291417940
12155bb32068257
13734164644112
1432d45d691551
15178349005321
hexbd357447d63

13002330111331 has 16 divisors (see below), whose sum is σ = 14330850645888. Its totient is φ = 11698229088000.

The previous prime is 13002330111311. The next prime is 13002330111341. The reversal of 13002330111331 is 13311103320031.

It is a cyclic number.

It is not a de Polignac number, because 13002330111331 - 231 = 13000182627683 is a prime.

It is a super-2 number, since 2×130023301113312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002330111311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111604396 + ... + 111720838.

It is an arithmetic number, because the mean of its divisors is an integer number (895678165368).

Almost surely, 213002330111331 is an apocalyptic number.

13002330111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13002330111331 is a deficient number, since it is larger than the sum of its proper divisors (1328520534557).

13002330111331 is a wasteful number, since it uses less digits than its factorization.

13002330111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221202.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13002330111331 its reverse (13311103320031), we get a palindrome (26313433431362).

The spelling of 13002330111331 in words is "thirteen trillion, two billion, three hundred thirty million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 97 1067 104651 116443 1151161 1280873 10151147 11294971 111662617 124244681 12185876393 134044640323 1182030010121 13002330111331