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122014242141 = 31134919015573
BaseRepresentation
bin111000110100010011…
…1011001010101011101
3102122221101022201021020
41301220213121111131
53444341121222031
6132015204354353
711546424642321
oct1615047312535
9378841281236
10122014242141
114782294a050
121b7923a59b9
13b6765aa11c
145c96a6b981
153291c2d096
hex1c689d955d

122014242141 has 32 divisors (see below), whose sum is σ = 178109366400. Its totient is φ = 73684128000.

The previous prime is 122014242121. The next prime is 122014242143. The reversal of 122014242141 is 141242410221.

It is a happy number.

It is not a de Polignac number, because 122014242141 - 222 = 122010047837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122014242143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21891031 + ... + 21896603.

It is an arithmetic number, because the mean of its divisors is an integer number (5565917700).

Almost surely, 2122014242141 is an apocalyptic number.

122014242141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122014242141 is a deficient number, since it is larger than the sum of its proper divisors (56095124259).

122014242141 is a wasteful number, since it uses less digits than its factorization.

122014242141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 122014242141 its reverse (141242410221), we get a palindrome (263256652362).

The spelling of 122014242141 in words is "one hundred twenty-two billion, fourteen million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 11 33 349 1047 1901 3839 5573 5703 11517 16719 20911 61303 62733 183909 663449 1944977 1990347 5834931 7297939 10594273 21394747 21893817 31782819 64184241 116537003 349611009 3697401277 11092203831 40671414047 122014242141