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122231032131 = 3135953120831
BaseRepresentation
bin111000111010110001…
…0011000100101000011
3102200111111020210020010
41301311202120211003
54000312121012011
6132052511120003
711554666426155
oct1616542304503
9380444223203
10122231032131
114792425a62a
121b832b13003
13b6ac492720
145cb7780ad5
1532a5ca21a6
hex1c75898943

122231032131 has 16 divisors (see below), whose sum is σ = 178485995520. Its totient is φ = 73944195360.

The previous prime is 122231032129. The next prime is 122231032159. The reversal of 122231032131 is 131230132221.

It is not a de Polignac number, because 122231032131 - 21 = 122231032129 is a prime.

It is a super-2 number, since 2×1222310321312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122231032098 and 122231032107.

It is not an unprimeable number, because it can be changed into a prime (122231036131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26558115 + ... + 26562716.

It is an arithmetic number, because the mean of its divisors is an integer number (11155374720).

Almost surely, 2122231032131 is an apocalyptic number.

122231032131 is a deficient number, since it is larger than the sum of its proper divisors (56254963389).

122231032131 is a wasteful number, since it uses less digits than its factorization.

122231032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53120906.

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

Adding to 122231032131 its reverse (131230132221), we get a palindrome (253461164352).

The spelling of 122231032131 in words is "one hundred twenty-two billion, two hundred thirty-one million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 59 177 767 2301 53120831 159362493 690570803 2071712409 3134129029 9402387087 40743677377 122231032131