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122163914881 = 29173132118433
BaseRepresentation
bin111000111000110001…
…0010110100010000001
3102200022210221212200001
41301301202112202001
54000142430234011
6132042112400001
711553223100101
oct1616142264201
9380283855601
10122163914881
114789a388428
121b814546001
13b69b5c3088
145cac8ad201
15329ee457c1
hex1c71896881

122163914881 has 16 divisors (see below), whose sum is σ = 127210084560. Its totient is φ = 117174435840.

The previous prime is 122163914867. The next prime is 122163914893. The reversal of 122163914881 is 188419361221.

It can be written as a sum of positive squares in 8 ways, for example, as 32106905856 + 90057009025 = 179184^2 + 300095^2 .

It is a cyclic number.

It is not a de Polignac number, because 122163914881 - 219 = 122163390593 is a prime.

It is a super-2 number, since 2×1221639148812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122163914861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6618241 + ... + 6636673.

It is an arithmetic number, because the mean of its divisors is an integer number (7950630285).

Almost surely, 2122163914881 is an apocalyptic number.

It is an amenable number.

122163914881 is a deficient number, since it is larger than the sum of its proper divisors (5046169679).

122163914881 is a wasteful number, since it uses less digits than its factorization.

122163914881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19956.

The product of its digits is 165888, while the sum is 46.

The spelling of 122163914881 in words is "one hundred twenty-two billion, one hundred sixty-three million, nine hundred fourteen thousand, eight hundred eighty-one".

Divisors: 1 29 173 1321 5017 18433 38309 228533 534557 3188909 6627457 24349993 92478361 706149797 4212548789 122163914881