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122041310424131 = 7523223714901883
BaseRepresentation
bin11011101111111011110100…
…111101001010110001000011
3121000010000221202110212101002
4123233323310331022301003
5111444011100432033011
61111321000511402215
734464123304410440
oct3357736475126103
9530100852425332
10122041310424131
113598247a14008a
121183050bb2336b
1353135a538b197
14221cb8c1629c7
15e198941b8c3b
hex6efef4f4ac43

122041310424131 has 16 divisors (see below), whose sum is σ = 139804945515264. Its totient is φ = 104360144732064.

The previous prime is 122041310424127. The next prime is 122041310424133. The reversal of 122041310424131 is 131424013140221.

It is a cyclic number.

It is not a de Polignac number, because 122041310424131 - 22 = 122041310424127 is a prime.

It is a super-2 number, since 2×1220413104241312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122041310424094 and 122041310424103.

It is not an unprimeable number, because it can be changed into a prime (122041310424133) 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 15 ways as a sum of consecutive naturals, for example, 738716 + ... + 15640598.

It is an arithmetic number, because the mean of its divisors is an integer number (8737809094704).

Almost surely, 2122041310424131 is an apocalyptic number.

122041310424131 is a deficient number, since it is larger than the sum of its proper divisors (17763635091133).

122041310424131 is a wasteful number, since it uses less digits than its factorization.

122041310424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904650.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 122041310424131 its reverse (131424013140221), we get a palindrome (253465323564352).

The spelling of 122041310424131 in words is "one hundred twenty-two trillion, forty-one billion, three hundred ten million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 7 523 2237 3661 15659 1169951 8189657 14901883 104313181 7793684809 33335512271 54555793663 233348585897 17434472917733 122041310424131