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122164775140 = 2256359996043
BaseRepresentation
bin111000111000110010…
…1101000100011100100
3102200022212120120201111
41301301211220203210
54000143140301030
6132042143034404
711553233312122
oct1616145504344
9380285516644
10122164775140
114789a915791
121b81489ba04
13b69b8347c5
145caca54912
1532a006562a
hex1c719688e4

122164775140 has 24 divisors (see below), whose sum is σ = 256552732800. Its totient is φ = 48864632928.

The previous prime is 122164775099. The next prime is 122164775141. The reversal of 122164775140 is 41577461221.

It is a junction number, because it is equal to n+sod(n) for n = 122164775093 and 122164775102.

It is not an unprimeable number, because it can be changed into a prime (122164775141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223959 + ... + 1320001.

It is an arithmetic number, because the mean of its divisors is an integer number (10689697200).

Almost surely, 2122164775140 is an apocalyptic number.

122164775140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122164775140 is an abundant number, since it is smaller than the sum of its proper divisors (134387957660).

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

122164775140 is a wasteful number, since it uses less digits than its factorization.

122164775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159651 (or 159649 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 122164775140 in words is "one hundred twenty-two billion, one hundred sixty-four million, seven hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 63599 96043 127198 192086 254396 317995 384172 480215 635990 960430 1271980 1920860 6108238757 12216477514 24432955028 30541193785 61082387570 122164775140