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103122101333133 = 3231369613266427
BaseRepresentation
bin10111011100100111111100…
…001101111110110010001101
3111112010101011112210012101100
4113130213330031332302031
5102004023030420130013
61003153350033333313
730502216542460401
oct2734477415766215
9445111145705340
10103122101333133
112a9489238a6723
12b695907107239
1345704ac2c6a9c
141b671ca167101
15bdc6986e6473
hex5dc9fc37ec8d

103122101333133 has 12 divisors (see below), whose sum is σ = 153759118834048. Its totient is φ = 66530387956680.

The previous prime is 103122101333087. The next prime is 103122101333183. The reversal of 103122101333133 is 331333101221301.

103122101333133 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 210 + 133 + 313 + 3 = 666.

It is not a de Polignac number, because 103122101333133 - 241 = 100923078077581 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103122101333097 and 103122101333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122101333183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184806632935 + ... + 184806633492.

Almost surely, 2103122101333133 is an apocalyptic number.

It is an amenable number.

103122101333133 is a deficient number, since it is larger than the sum of its proper divisors (50637017500915).

103122101333133 is a wasteful number, since it uses less digits than its factorization.

103122101333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369613266464 (or 369613266461 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103122101333133 its reverse (331333101221301), we get a palindrome (434455202554434).

The spelling of 103122101333133 in words is "one hundred three trillion, one hundred twenty-two billion, one hundred one million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 279 369613266427 1108839799281 3326519397843 11458011259237 34374033777711 103122101333133