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13301132114023 = 1317791799414523
BaseRepresentation
bin1100000110001110100101…
…0000010011100001100111
31202002120112202200220111121
43001203221100103201213
53220411204310122043
644142242234514411
72541655311342025
oct301435120234147
952076482626447
1013301132114023
114268a84356016
1215a9a22295a07
137563a31ccc80
1433dac7665715
15180ed6421ded
hexc18e9413867

13301132114023 has 64 divisors (see below), whose sum is σ = 15464523110400. Its totient is φ = 11331156695040.

The previous prime is 13301132113979. The next prime is 13301132114027. The reversal of 13301132114023 is 32041123110331.

It is not a de Polignac number, because 13301132114023 - 225 = 13301098559591 is a prime.

It is a super-2 number, since 2×133011321140232 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301132114027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2940774240 + ... + 2940778762.

It is an arithmetic number, because the mean of its divisors is an integer number (241633173600).

Almost surely, 213301132114023 is an apocalyptic number.

13301132114023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13301132114023 is a deficient number, since it is larger than the sum of its proper divisors (2163390996377).

13301132114023 is a wasteful number, since it uses less digits than its factorization.

13301132114023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13301132114023 its reverse (32041123110331), we get a palindrome (45342255224354).

The spelling of 13301132114023 in words is "thirteen trillion, three hundred one billion, one hundred thirty-two million, one hundred fourteen thousand, twenty-three".

Divisors: 1 13 17 79 179 221 941 1027 1343 2327 3043 4523 12233 14141 15997 17459 39559 58799 74339 76891 168439 183833 207961 240397 357317 809617 966407 999583 1263763 2189707 2863463 3125161 4256143 4645121 6074389 10525021 13306681 13763489 16428919 37225019 55329859 63959743 72354431 78967057 172986853 178925357 226213577 336235297 761849597 831476659 940607603 1087315631 2940776501 4371058861 5716000049 9904044761 12951443149 14135103203 60186118163 74308000637 168368760937 782419536119 1023164008771 13301132114023