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2132142114113 = 11659877335381
BaseRepresentation
bin11111000001101101100…
…100101100010101000001
321112211102122112202201122
4133001231210230111001
5234413111340122423
64311254221042025
7310020316641044
oct37015544542501
97484378482648
102132142114113
11752266702a60
122a52820b6315
131260a218093b
14752a6648c5b
153a6dde268c8
hex1f06d92c541

2132142114113 has 16 divisors (see below), whose sum is σ = 2332165936320. Its totient is φ = 1933157150400.

The previous prime is 2132142114083. The next prime is 2132142114119. The reversal of 2132142114113 is 3114112412312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2132142114113 - 212 = 2132142110017 is a prime.

It is a super-2 number, since 2×21321421141132 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2132142114119) 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, 6189683 + ... + 6525063.

It is an arithmetic number, because the mean of its divisors is an integer number (145760371020).

Almost surely, 22132142114113 is an apocalyptic number.

It is an amenable number.

2132142114113 is a deficient number, since it is larger than the sum of its proper divisors (200023822207).

2132142114113 is a wasteful number, since it uses less digits than its factorization.

2132142114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336928.

The product of its digits is 1152, while the sum is 26.

Adding to 2132142114113 its reverse (3114112412312), we get a palindrome (5246254526425).

The spelling of 2132142114113 in words is "two trillion, one hundred thirty-two billion, one hundred forty-two million, one hundred fourteen thousand, one hundred thirteen".

Divisors: 1 11 659 877 7249 9647 335381 577943 3689191 6357373 221016079 294129137 2431176869 3235420507 193831101283 2132142114113