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13002131312330 = 2510958132052049
BaseRepresentation
bin1011110100110100101101…
…1010110000111011001010
31201000222202212221102011012
42331031023122300323022
53201011331103443310
643353032514003522
72511241635431066
oct275151332607312
951028685842135
1013002131312330
11416319a185246
12155ba975765a2
137341323ba684
1432d441102aa6
15178336836c05
hexbd34b6b0eca

13002131312330 has 32 divisors (see below), whose sum is σ = 23622625026000. Its totient is φ = 5152249285632.

The previous prime is 13002131312321. The next prime is 13002131312341. The reversal of 13002131312330 is 3321313120031.

It can be written as a sum of positive squares in 8 ways, for example, as 9290809974889 + 3711321337441 = 3048083^2 + 1926479^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13002131312296 and 13002131312305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5310146 + ... + 7362194.

Almost surely, 213002131312330 is an apocalyptic number.

13002131312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13002131312330 is a deficient number, since it is larger than the sum of its proper divisors (10620493713670).

13002131312330 is a wasteful number, since it uses less digits than its factorization.

13002131312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057978.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13002131312330 its reverse (3321313120031), we get a palindrome (16323444432361).

The spelling of 13002131312330 in words is "thirteen trillion, two billion, one hundred thirty-one million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 5 10 109 218 545 1090 5813 11626 29065 58130 633617 1267234 2052049 3168085 4104098 6336170 10260245 20520490 223673341 447346682 1118366705 2236733410 11928560837 23857121674 59642804185 119285608370 1300213131233 2600426262466 6501065656165 13002131312330