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122330033101131 = 3968911027381659
BaseRepresentation
bin11011110100001000101110…
…001010110001100101001011
3121001010122012100010112020120
4123310020232022301211023
5112013223401433214011
61112101350312354323
734524024154566312
oct3364105612614513
9531118170115216
10122330033101131
1135a8396a603729
12118784686a59a3
1353348989a43ab
14222cb3b645279
15e221417a8a06
hex6f422e2b194b

122330033101131 has 16 divisors (see below), whose sum is σ = 163138765564800. Its totient is φ = 81537329628608.

The previous prime is 122330033101103. The next prime is 122330033101187. The reversal of 122330033101131 is 131101330033221.

It is a cyclic number.

It is not a de Polignac number, because 122330033101131 - 218 = 122330032838987 is a prime.

It is a super-2 number, since 2×1223300331011312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122330033101831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320330980 + ... + 320712638.

It is an arithmetic number, because the mean of its divisors is an integer number (10196172847800).

Almost surely, 2122330033101131 is an apocalyptic number.

122330033101131 is a deficient number, since it is larger than the sum of its proper divisors (40808732463669).

122330033101131 is a wasteful number, since it uses less digits than its factorization.

122330033101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402378.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 122330033101131 its reverse (131101330033221), we get a palindrome (253431363134352).

The spelling of 122330033101131 in words is "one hundred twenty-two trillion, three hundred thirty billion, thirty-three million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9689 11027 29067 33081 381659 1144977 106840603 320521809 3697894051 4208553793 11093682153 12625661379 40776677700377 122330033101131