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2130113322135 = 35517103128217
BaseRepresentation
bin11110111111110100101…
…001011101110010010111
321112122012021000110100000
4132333310221131302113
5234344433002302020
64310321025022343
7306616123331451
oct36776451356227
97478167013300
102130113322135
11751415490577
122a49b67849b3
13125b3aa65406
14751530172d1
153a620c78090
hex1eff4a5dc97

2130113322135 has 48 divisors (see below), whose sum is σ = 4054176506016. Its totient is φ = 1069233343488.

The previous prime is 2130113322091. The next prime is 2130113322151. The reversal of 2130113322135 is 5312233110312.

2130113322135 is a `hidden beast` number, since 2 + 1 + 301 + 1 + 3 + 322 + 1 + 35 = 666.

It is not a de Polignac number, because 2130113322135 - 214 = 2130113305751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2130113322099 and 2130113322108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51543454 + ... + 51584763.

It is an arithmetic number, because the mean of its divisors is an integer number (84462010542).

Almost surely, 22130113322135 is an apocalyptic number.

2130113322135 is a deficient number, since it is larger than the sum of its proper divisors (1924063183881).

2130113322135 is a wasteful number, since it uses less digits than its factorization.

2130113322135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103128254 (or 103128242 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 2130113322135 its reverse (5312233110312), we get a palindrome (7442346432447).

The spelling of 2130113322135 in words is "two trillion, one hundred thirty billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 765 1215 1377 2295 4131 6885 20655 103128217 309384651 515641085 928153953 1546923255 1753179689 2784461859 4640769765 5259539067 8353385577 8765898445 13922309295 15778617201 25060156731 26297695335 41766927885 47335851603 78893086005 125300783655 142007554809 236679258015 426022664427 710037774045 2130113322135