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122345011300104 = 23321699236268057
BaseRepresentation
bin11011110100010110101010…
…111100000100011100001000
3121001012001212012020212112200
4123310112222330010130020
5112014000040343100404
61112112304451240200
734525064301306015
oct3364265274043410
9531161765225480
10122345011300104
1135a8a25639526a
121187b3488a9060
135336114b59318
14222d75c9d270c
15e2271b713839
hex6f45aaf04708

122345011300104 has 24 divisors (see below), whose sum is σ = 331351072271310. Its totient is φ = 40781670433344.

The previous prime is 122345011300097. The next prime is 122345011300189. The reversal of 122345011300104 is 401003110543221.

122345011300104 is a `hidden beast` number, since 1 + 2 + 2 + 345 + 0 + 1 + 1 + 300 + 10 + 4 = 666.

122345011300104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111999846668004 + 10345164632100 = 10582998^2 + 3216390^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 849618133957 + ... + 849618134100.

Almost surely, 2122345011300104 is an apocalyptic number.

It is an amenable number.

122345011300104 is an abundant number, since it is smaller than the sum of its proper divisors (209006060971206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122345011300104 is a wasteful number, since it uses less digits than its factorization.

122345011300104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699236268069 (or 1699236268062 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122345011300104 its reverse (401003110543221), we get a palindrome (523348121843325).

The spelling of 122345011300104 in words is "one hundred twenty-two trillion, three hundred forty-five billion, eleven million, three hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1699236268057 3398472536114 5097708804171 6796945072228 10195417608342 13593890144456 15293126412513 20390835216684 30586252825026 40781670433368 61172505650052 122345011300104