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122133122330094 = 23266193559109717
BaseRepresentation
bin11011110001010001010101…
…010111110010110111101110
3121000102210221021202221012200
4123301101111113302313232
5112002012113304030334
61111431103135242330
734503553424626611
oct3361212527626756
9530383837687180
10122133122330094
1135a08403607a17
12118462736793a6
13531c1476ab765
1422233bb956178
15e1be69651799
hex6f14555f2dee

122133122330094 has 48 divisors (see below), whose sum is σ = 265027348753440. Its totient is φ = 40648645730880.

The previous prime is 122133122330053. The next prime is 122133122330101. The reversal of 122133122330094 is 490033221331221.

122133122330094 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 312 + 2 + 330 + 0 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113110124 + ... + 1113219840.

It is an arithmetic number, because the mean of its divisors is an integer number (5521403099030).

Almost surely, 2122133122330094 is an apocalyptic number.

122133122330094 is an abundant number, since it is smaller than the sum of its proper divisors (142894226423346).

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

122133122330094 is a wasteful number, since it uses less digits than its factorization.

122133122330094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203945 (or 203942 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 122133122330094 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 661 1322 1983 3966 5949 11898 93559 109717 187118 219434 280677 329151 561354 658302 842031 987453 1684062 1974906 61842499 72522937 123684998 145045874 185527497 217568811 371054994 435137622 556582491 652706433 1113164982 1305412866 10265012803 20530025606 30795038409 61590076818 92385115227 184770230454 6785173462783 13570346925566 20355520388349 40711040776698 61066561165047 122133122330094