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20013233133101 = 1325918311096201
BaseRepresentation
bin1001000110011101100011…
…01001101101011000101101
32121212020122121221022121112
410203032301221231120231
510110344100140224401
6110321541414041405
74133623400551565
oct443166151553055
977766577838545
1020013233133101
1164166233a587a
1222b2847349265
13b22316a70b00
144d2907951da5
1524a8cb9d93bb
hex1233b1a6d62d

20013233133101 has 24 divisors (see below), whose sum is σ = 22050497862720. Its totient is φ = 18150704208000.

The previous prime is 20013233133097. The next prime is 20013233133139. The reversal of 20013233133101 is 10133133231002.

It is not a de Polignac number, because 20013233133101 - 22 = 20013233133097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013233133191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17708801 + ... + 18805001.

It is an arithmetic number, because the mean of its divisors is an integer number (918770744280).

Almost surely, 220013233133101 is an apocalyptic number.

It is an amenable number.

20013233133101 is a deficient number, since it is larger than the sum of its proper divisors (2037264729619).

20013233133101 is a wasteful number, since it uses less digits than its factorization.

20013233133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098117 (or 1098104 counting only the distinct ones).

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

Adding to 20013233133101 its reverse (10133133231002), we get a palindrome (30146366364103).

The spelling of 20013233133101 in words is "twenty trillion, thirteen billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 13 59 169 767 1831 9971 23803 108029 309439 1096201 1404377 14250613 18256901 64675859 185257969 840786167 2007144031 10930220171 26092872403 118421497829 339207341239 1539479471777 20013233133101