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122131231041 = 3437699122971
BaseRepresentation
bin111000110111110010…
…1101011000101000001
3102200020112110100212110
41301233211223011001
54000111043343131
6132034544045533
711552345222661
oct1615745530501
9380215410773
10122131231041
1147882994596
121b8056038a9
13b6948bb621
145ca84021a1
15329c13b646
hex1c6f96b141

122131231041 has 16 divisors (see below), whose sum is σ = 166651654400. Its totient is φ = 79516337040.

The previous prime is 122131231007. The next prime is 122131231049. The reversal of 122131231041 is 140132131221.

It is not a de Polignac number, because 122131231041 - 214 = 122131214657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122131230999 and 122131231017.

It is not an unprimeable number, because it can be changed into a prime (122131231049) 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, 931686 + ... + 1054656.

It is an arithmetic number, because the mean of its divisors is an integer number (10415728400).

Almost surely, 2122131231041 is an apocalyptic number.

It is an amenable number.

122131231041 is a deficient number, since it is larger than the sum of its proper divisors (44520423359).

122131231041 is a wasteful number, since it uses less digits than its factorization.

122131231041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130716.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122131231041 its reverse (140132131221), we get a palindrome (262263362262).

The spelling of 122131231041 in words is "one hundred twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, forty-one".

Divisors: 1 3 43 129 7699 23097 122971 331057 368913 993171 5287753 15863259 946753729 2840261187 40710410347 122131231041