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13122330131123 = 175471836776831
BaseRepresentation
bin1011111011110100011111…
…0100110111101010110011
31201110111000202020001202122
42332331013310313222303
53204444013003143443
643524152031504455
72523025400511113
oct276750764675263
951414022201678
1013122330131123
1141aa170295914
12157b24198812b
137425798374a5
143351a4a01043
1517b51deb1968
hexbef47d37ab3

13122330131123 has 16 divisors (see below), whose sum is σ = 13920571736064. Its totient is φ = 12327018238080.

The previous prime is 13122330131059. The next prime is 13122330131237. The reversal of 13122330131123 is 32113103322131.

It is a cyclic number.

It is not a de Polignac number, because 13122330131123 - 26 = 13122330131059 is a prime.

It is a super-2 number, since 2×131223301311232 (a number of 27 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 = 13122330131092 and 13122330131101.

It is not an unprimeable number, because it can be changed into a prime (13122330131923) 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, 170756318 + ... + 170833148.

It is an arithmetic number, because the mean of its divisors is an integer number (870035733504).

Almost surely, 213122330131123 is an apocalyptic number.

13122330131123 is a deficient number, since it is larger than the sum of its proper divisors (798241604941).

13122330131123 is a wasteful number, since it uses less digits than its factorization.

13122330131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95762.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13122330131123 its reverse (32113103322131), we get a palindrome (45235433453254).

The spelling of 13122330131123 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 17 547 9299 18367 76831 312239 1306127 10046749 42026557 170794733 714451469 1411154977 23989634609 771901772419 13122330131123