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122314406103 = 334530163189
BaseRepresentation
bin111000111101010000…
…0011011100011010111
3102200201022010121211000
41301322200123203113
54000444441443403
6132105050114343
711560031204031
oct1617240334327
9380638117730
10122314406103
114796732573a
121b856a1b9b3
13b6c3834736
145cc4884c51
1532ad2707a3
hex1c7a81b8d7

122314406103 has 8 divisors (see below), whose sum is σ = 181206527600. Its totient is φ = 81542937384.

The previous prime is 122314406033. The next prime is 122314406107. The reversal of 122314406103 is 301604413221.

It is a happy number.

122314406103 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 4 + 40 + 610 + 3 = 666.

It is not a de Polignac number, because 122314406103 - 222 = 122310211799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4530163189 = 122314406103 / (1 + 2 + 2 + 3 + 1 + 4 + 4 + 0 + 6 + 1 + 0 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314406107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265081568 + ... + 2265081621.

It is an arithmetic number, because the mean of its divisors is an integer number (22650815950).

Almost surely, 2122314406103 is an apocalyptic number.

122314406103 is a deficient number, since it is larger than the sum of its proper divisors (58892121497).

122314406103 is an equidigital number, since it uses as much as digits as its factorization.

122314406103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530163198 (or 4530163192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122314406103 its reverse (301604413221), we get a palindrome (423918819324).

The spelling of 122314406103 in words is "one hundred twenty-two billion, three hundred fourteen million, four hundred six thousand, one hundred three".

Divisors: 1 3 9 27 4530163189 13590489567 40771468701 122314406103