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132131222031 = 34310223100193
BaseRepresentation
bin111101100001110100…
…0100111001000001111
3110122001110012112122010
41323003220213020033
54131101043101111
6140411130352303
712355222566444
oct1730350471017
9418043175563
10132131222031
11510446a2856
122173658b693
13c5c95a4963
1465765619cb
153684ee6aa6
hex1ec3a2720f

132131222031 has 16 divisors (see below), whose sum is σ = 180291488256. Its totient is φ = 86029660416.

The previous prime is 132131222029. The next prime is 132131222039. The reversal of 132131222031 is 130222131231.

It is not a de Polignac number, because 132131222031 - 21 = 132131222029 is a prime.

It is a super-2 number, since 2×1321312220312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132131221989 and 132131222007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131222039) 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, 1268671 + ... + 1368863.

It is an arithmetic number, because the mean of its divisors is an integer number (11268218016).

Almost surely, 2132131222031 is an apocalyptic number.

132131222031 is a deficient number, since it is larger than the sum of its proper divisors (48160266225).

132131222031 is a wasteful number, since it uses less digits than its factorization.

132131222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110462.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132131222031 its reverse (130222131231), we get a palindrome (262353353262).

The spelling of 132131222031 in words is "one hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 43 129 10223 30669 100193 300579 439589 1318767 4308299 12924897 1024273039 3072819117 44043740677 132131222031