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131202413444011 = 7135107637944257
BaseRepresentation
bin11101110101001111110001…
…001111110011101110101011
3122012112211100210001001112111
4131311033301033303232223
5114144110020320202021
61143013320123023151
736431030054303440
oct3565176117635653
9565484323031474
10131202413444011
11388946a3a49548
121286baa696aab7
135829446b84b70
1424583330459c7
151027d210b38e1
hex7753f13f3bab

131202413444011 has 32 divisors (see below), whose sum is σ = 161540482019840. Its totient is φ = 103769561189376.

The previous prime is 131202413444009. The next prime is 131202413444099. The reversal of 131202413444011 is 110444314202131.

It is a cyclic number.

It is not a de Polignac number, because 131202413444011 - 21 = 131202413444009 is a prime.

It is a super-4 number, since 4×1312024134440114 (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (131202513444011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964535195 + ... + 2964579451.

It is an arithmetic number, because the mean of its divisors is an integer number (5048140063120).

Almost surely, 2131202413444011 is an apocalyptic number.

131202413444011 is a deficient number, since it is larger than the sum of its proper divisors (30338068575829).

131202413444011 is a wasteful number, since it uses less digits than its factorization.

131202413444011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55763.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 131202413444011 its reverse (110444314202131), we get a palindrome (241646727646142).

The spelling of 131202413444011 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred thirteen million, four hundred forty-four thousand, eleven".

Divisors: 1 7 13 91 5107 6379 35749 44257 44653 66391 82927 309799 464737 575341 580489 4027387 32577553 226020499 228042871 282315403 423508189 1582143493 1976207821 2938266487 2964557323 3670100239 20567865409 25690701673 1441784763121 10092493341847 18743201920573 131202413444011