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122314200134 = 2724139776679
BaseRepresentation
bin111000111101001111…
…1101001010001000110
3102200201021202011021112
41301322133221101012
54000444413401014
6132105041445022
711560026355400
oct1617237512106
9380637664245
10122314200134
11479671a4a15
121b856940772
13b6c3791a69
145cc482db70
1532ad22e73e
hex1c7a7e9446

122314200134 has 48 divisors (see below), whose sum is σ = 219184872480. Its totient is φ = 51012339840.

The previous prime is 122314200119. The next prime is 122314200149. The reversal of 122314200134 is 431002413221.

122314200134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122314200119) and next prime (122314200149).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556807 + ... + 1633485.

It is an arithmetic number, because the mean of its divisors is an integer number (4566351510).

Almost surely, 2122314200134 is an apocalyptic number.

122314200134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122314200134 is a deficient number, since it is larger than the sum of its proper divisors (96870672346).

122314200134 is a wasteful number, since it uses less digits than its factorization.

122314200134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77133 (or 77126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122314200134 its reverse (431002413221), we get a palindrome (553316613355).

The spelling of 122314200134 in words is "one hundred twenty-two billion, three hundred fourteen million, two hundred thousand, one hundred thirty-four".

Divisors: 1 2 7 14 41 49 82 98 287 397 574 794 2009 2779 4018 5558 16277 19453 32554 38906 76679 113939 153358 227878 536753 797573 1073506 1595146 3143839 3757271 6287678 7514542 22006873 30441563 44013746 60883126 154048111 213090941 308096222 426181882 1248104083 1491636587 2496208166 2983273174 8736728581 17473457162 61157100067 122314200134