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122282057514241 = 2293272831954639
BaseRepresentation
bin11011110011011100000010…
…100110011011110100000001
3121000222001100211121012100001
4123303130002212123310001
5112011432123210423431
61112023333545200001
734520405244044512
oct3363340246336401
9530861324535301
10122282057514241
1135a65590642169
121186b0b9790001
1353301c1478a61
14222a6a9b26a09
15e20c849e9e61
hex6f370299bd01

122282057514241 has 8 divisors (see below), whose sum is σ = 122339932461440. Its totient is φ = 122224186535472.

The previous prime is 122282057514193. The next prime is 122282057514341. The reversal of 122282057514241 is 142415750282221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122282057514241 - 29 = 122282057513729 is a prime.

It is a super-2 number, since 2×1222820575142412 (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 = 122282057514191 and 122282057514200.

It is not an unprimeable number, because it can be changed into a prime (122282057514041) 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 7 ways as a sum of consecutive naturals, for example, 61582600 + ... + 63537238.

It is an arithmetic number, because the mean of its divisors is an integer number (15292491557680).

Almost surely, 2122282057514241 is an apocalyptic number.

It is an amenable number.

122282057514241 is a deficient number, since it is larger than the sum of its proper divisors (57874947199).

122282057514241 is a wasteful number, since it uses less digits than its factorization.

122282057514241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984215.

The product of its (nonzero) digits is 716800, while the sum is 46.

The spelling of 122282057514241 in words is "one hundred twenty-two trillion, two hundred eighty-two billion, fifty-seven million, five hundred fourteen thousand, two hundred forty-one".

Divisors: 1 2293 27283 1954639 62559919 4481987227 53328415837 122282057514241