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183957006133 is a prime number
BaseRepresentation
bin1010101101010010110…
…0010010011100110101
3122120211021120011012101
42223110230102130311
511003220443144013
6220301513022101
716201424516065
oct2532454223465
9576737504171
10183957006133
1171019a3048a
122b79a9b4931
13144686917b4
148c9155b3a5
154bb9cd98dd
hex2ad4b12735

183957006133 has 2 divisors, whose sum is σ = 183957006134. Its totient is φ = 183957006132.

The previous prime is 183957006109. The next prime is 183957006143. The reversal of 183957006133 is 331600759381.

183957006133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146782466884 + 37174539249 = 383122^2 + 192807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-183957006133 is a prime.

It is a super-2 number, since 2×1839570061332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (183957006143) 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 as a sum of consecutive naturals, namely, 91978503066 + 91978503067.

It is an arithmetic number, because the mean of its divisors is an integer number (91978503067).

Almost surely, 2183957006133 is an apocalyptic number.

It is an amenable number.

183957006133 is a deficient number, since it is larger than the sum of its proper divisors (1).

183957006133 is an equidigital number, since it uses as much as digits as its factorization.

183957006133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 183957006133 in words is "one hundred eighty-three billion, nine hundred fifty-seven million, six thousand, one hundred thirty-three".