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122301123093 = 3213589013677
BaseRepresentation
bin111000111100110110…
…1110000101000010101
3102200200101010202221200
41301321231300220111
54000433041414333
6132103453303113
711556510252042
oct1617155605025
9380611122850
10122301123093
114795a882a46
121b852494a99
13b6c0b63776
145cc2bc81c9
1532abee9c13
hex1c79b70a15

122301123093 has 6 divisors (see below), whose sum is σ = 176657177814. Its totient is φ = 81534082056.

The previous prime is 122301123071. The next prime is 122301123097. The reversal of 122301123093 is 390321103221.

122301123093 is a `hidden beast` number, since 12 + 230 + 112 + 309 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115789117284 + 6512005809 = 340278^2 + 80697^2 .

It is a de Polignac number, because none of the positive numbers 2k-122301123093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122301123097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6794506830 + ... + 6794506847.

It is an arithmetic number, because the mean of its divisors is an integer number (29442862969).

Almost surely, 2122301123093 is an apocalyptic number.

It is an amenable number.

122301123093 is a deficient number, since it is larger than the sum of its proper divisors (54356054721).

122301123093 is a wasteful number, since it uses less digits than its factorization.

122301123093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13589013683 (or 13589013680 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 122301123093 in words is "one hundred twenty-two billion, three hundred one million, one hundred twenty-three thousand, ninety-three".

Divisors: 1 3 9 13589013677 40767041031 122301123093