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13300101122241 = 329374579041027
BaseRepresentation
bin1100000110001010101111…
…0011011000100011000001
31202002110212220201002122210
43001202223303120203001
53220402101341402431
644141552045052333
72541620622142053
oct301425363304301
952073786632583
1013300101122241
1142685a539469a
1215a9794b570a9
1375626a73156b
1433da2a76b8d3
15180e75b6cd46
hexc18abcd88c1

13300101122241 has 32 divisors (see below), whose sum is σ = 18882006157440. Its totient is φ = 8311379037696.

The previous prime is 13300101122239. The next prime is 13300101122279. The reversal of 13300101122241 is 14222110100331.

It is not a de Polignac number, because 13300101122241 - 21 = 13300101122239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13300101122941) 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 31 ways as a sum of consecutive naturals, for example, 3049431 + ... + 5991596.

It is an arithmetic number, because the mean of its divisors is an integer number (590062692420).

Almost surely, 213300101122241 is an apocalyptic number.

It is an amenable number.

13300101122241 is a deficient number, since it is larger than the sum of its proper divisors (5581905035199).

13300101122241 is a wasteful number, since it uses less digits than its factorization.

13300101122241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041553.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13300101122241 its reverse (14222110100331), we get a palindrome (27522211222572).

The spelling of 13300101122241 in words is "thirteen trillion, three hundred billion, one hundred one million, one hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 29 37 87 111 457 1073 1371 3219 13253 16909 39759 50727 490361 1471083 9041027 27123081 262189783 334517999 786569349 1003553997 4131749339 9701021971 12395248017 29103065913 119820730831 152874725543 359462192493 458624176629 4433367040747 13300101122241