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133100211123201 = 3724134136470551
BaseRepresentation
bin11110010000110111001110…
…110011011011010000000001
3122110021020220120012002001110
4132100313032303123100001
5114421203213021420301
61151025220505353533
740015113211356600
oct3620671663332001
9573236816162043
10133100211123201
1139456534299a93
1212b178674988a9
1359363b057499a
1424c2128191a37
15105c39682c0d6
hex790dcecdb401

133100211123201 has 48 divisors (see below), whose sum is σ = 211538288320128. Its totient is φ = 74180455776000.

The previous prime is 133100211123197. The next prime is 133100211123203. The reversal of 133100211123201 is 102321112001331.

It is not a de Polignac number, because 133100211123201 - 22 = 133100211123197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133100211123203) 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 47 ways as a sum of consecutive naturals, for example, 17334876 + ... + 23805426.

It is an arithmetic number, because the mean of its divisors is an integer number (4407047673336).

Almost surely, 2133100211123201 is an apocalyptic number.

It is an amenable number.

133100211123201 is a deficient number, since it is larger than the sum of its proper divisors (78438077196927).

133100211123201 is a wasteful number, since it uses less digits than its factorization.

133100211123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6474022 (or 6474015 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 133100211123201 its reverse (102321112001331), we get a palindrome (235421323124532).

The spelling of 133100211123201 in words is "one hundred thirty-three trillion, one hundred billion, two hundred eleven million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 21 41 49 123 147 287 861 2009 3413 6027 10239 23891 71673 139933 167237 419799 501711 979531 2938593 6470551 6856717 19411653 20570151 45293857 135881571 265292591 317056999 795877773 951170997 1857048137 5571144411 12999336959 22083990563 38998010877 66251971689 154587933941 463763801823 905443613083 1082115537587 2716330839249 3246346612761 6338105291581 19014315874743 44366737041067 133100211123201