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2131517133 = 33254930971
BaseRepresentation
bin111111100001100…
…0101111011001101
312111112211021211000
41333003011323031
513331132022013
6551301450513
7103551411444
oct17703057315
95445737730
102131517133
119a4205409
124b5a10a39
1327c7a4555
14163131d5b
15c71e0973
hex7f0c5ecd

2131517133 has 16 divisors (see below), whose sum is σ = 3159144000. Its totient is φ = 1420408080.

The previous prime is 2131517117. The next prime is 2131517209. The reversal of 2131517133 is 3317151312.

It is a happy number.

2131517133 is a `hidden beast` number, since 2 + 13 + 1 + 517 + 133 = 666.

It is not a de Polignac number, because 2131517133 - 24 = 2131517117 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 = 2131517097 and 2131517106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131512133) 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 15 ways as a sum of consecutive naturals, for example, 53338 + ... + 84308.

It is an arithmetic number, because the mean of its divisors is an integer number (197446500).

Almost surely, 22131517133 is an apocalyptic number.

It is an amenable number.

2131517133 is a deficient number, since it is larger than the sum of its proper divisors (1027626867).

2131517133 is a wasteful number, since it uses less digits than its factorization.

2131517133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33529 (or 33523 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 2131517133 is about 46168.3564034935. The cubic root of 2131517133 is about 1286.9537586420.

Adding to 2131517133 its reverse (3317151312), we get a palindrome (5448668445).

The spelling of 2131517133 in words is "two billion, one hundred thirty-one million, five hundred seventeen thousand, one hundred thirty-three".

Divisors: 1 3 9 27 2549 7647 22941 30971 68823 92913 278739 836217 78945079 236835237 710505711 2131517133