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122031103110093 = 33591135261128857
BaseRepresentation
bin11011101111110010010100…
…100011010110101111001101
3121000002001121101121120212000
4123233302110203112233031
5111443324144344010333
61111312152001302513
734463312331566412
oct3357622443265715
9530061541546760
10122031103110093
11359791113a7a61
121182a541634a39
1353126397555a8
14221c4a0676109
15e19498009713
hex6efc948d6bcd

122031103110093 has 64 divisors (see below), whose sum is σ = 185514697785600. Its totient is φ = 79251759175680.

The previous prime is 122031103110053. The next prime is 122031103110143. The reversal of 122031103110093 is 390011301130221.

122031103110093 is a `hidden beast` number, since 1 + 220 + 31 + 10 + 311 + 0 + 0 + 93 = 666.

It is not a de Polignac number, because 122031103110093 - 217 = 122031102979021 is a prime.

It is a super-2 number, since 2×1220311031100932 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122031103110053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946962921 + ... + 947091777.

It is an arithmetic number, because the mean of its divisors is an integer number (2898667152900).

Almost surely, 2122031103110093 is an apocalyptic number.

It is an amenable number.

122031103110093 is a deficient number, since it is larger than the sum of its proper divisors (63483594675507).

122031103110093 is a wasteful number, since it uses less digits than its factorization.

122031103110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134299 (or 134293 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 122031103110093 in words is "one hundred twenty-two trillion, thirty-one billion, one hundred three million, one hundred ten thousand, ninety-three".

Divisors: 1 3 9 27 59 113 177 339 531 1017 1593 3051 5261 6667 15783 20001 47349 60003 128857 142047 180009 310399 386571 594493 931197 1159713 1783479 2793591 3479139 5350437 7602563 8380773 14560841 16051311 22807689 35075087 43682523 68423067 105225261 131047569 205269201 315675783 393142707 677916677 859089619 947027349 2033750031 2577268857 6101250093 7731806571 18303750279 23195419713 39997083943 76604584501 119991251829 229813753503 359973755487 689441260509 1079921266461 2068323781527 4519670485559 13559011456677 40677034370031 122031103110093