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13122433422131 = 1173137119282921
BaseRepresentation
bin1011111011110100110111…
…1110111001001100110011
31201110111021221120210101112
42332331031332321030303
53204444220424002011
643524210201423535
72523031063461065
oct276751576711463
951414257523345
1013122433422131
1141aa213624990
12157b27049abab
13742595060c27
143351b460b735
1517b5280b658b
hexbef4dfb9333

13122433422131 has 16 divisors (see below), whose sum is σ = 14617406393568. Its totient is φ = 11680183526400.

The previous prime is 13122433422013. The next prime is 13122433422143.

13122433422131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13122433422131 - 218 = 13122433159987 is a prime.

It is a super-2 number, since 2×131224334221312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122433421131) 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, 59531450 + ... + 59751471.

It is an arithmetic number, because the mean of its divisors is an integer number (913587899598).

Almost surely, 213122433422131 is an apocalyptic number.

13122433422131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122433422131 is a deficient number, since it is larger than the sum of its proper divisors (1494972971437).

13122433422131 is a wasteful number, since it uses less digits than its factorization.

13122433422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119283142.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1312243 and 3422131, that added together give a palindrome (4734374).

The spelling of 13122433422131 in words is "thirteen trillion, one hundred twenty-two billion, four hundred thirty-three million, four hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 11 73 137 803 1507 10001 110011 119282921 1312112131 8707653233 16341760177 95784185563 179759361947 1192948492921 13122433422131