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131232222232131 = 31719763691773371
BaseRepresentation
bin11101110101101011100001…
…111111010011111001000011
3122012122200022012112101112010
4131311223201333103321003
5114200102042342412011
61143035130044504003
736433133542646316
oct3565534177237103
9565580265471463
10131232222232131
11388a6300262229
121287582584b003
13582c1b774ba27
14245995dd1897d
1510289b801c1a6
hex775ae1fd3e43

131232222232131 has 32 divisors (see below), whose sum is σ = 195022684281600. Its totient is φ = 78006942812160.

The previous prime is 131232222232109. The next prime is 131232222232211.

It is a happy number.

131232222232131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131232222232131 - 25 = 131232222232099 is a prime.

It is a super-2 number, since 2×1312322222321312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131232222232831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73114876 + ... + 74888246.

It is an arithmetic number, because the mean of its divisors is an integer number (6094458883800).

Almost surely, 2131232222232131 is an apocalyptic number.

131232222232131 is a deficient number, since it is larger than the sum of its proper divisors (63790462049469).

131232222232131 is a wasteful number, since it uses less digits than its factorization.

131232222232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849779.

The product of its digits is 10368, while the sum is 30.

The spelling of 131232222232131 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 17 19 51 57 323 969 76369 229107 1298273 1451011 1773371 3894819 4353033 5320113 24667187 30147307 33694049 74001561 90441921 101082147 572798833 1718396499 135430569899 406291709697 2302319688283 2573180828081 6906959064849 7719542484243 43744074077377 131232222232131