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122133122330130 = 2335452344897519
BaseRepresentation
bin11011110001010001010101…
…010111110010111000010010
3121000102210221021202221021000
4123301101111113302320102
5112002012113304031010
61111431103135242430
734503553424626662
oct3361212527627022
9530383837687230
10122133122330130
1135a08403607a4a
1211846273679416
13531c1476ab792
1422233bb9561a2
15e1be696517c0
hex6f14555f2e12

122133122330130 has 32 divisors (see below), whose sum is σ = 325688326214400. Its totient is φ = 32568832621296.

The previous prime is 122133122330113. The next prime is 122133122330179. The reversal of 122133122330130 is 31033221331221.

122133122330130 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 312 + 2 + 330 + 13 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122133122330094 and 122133122330103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226172448490 + ... + 226172449029.

It is an arithmetic number, because the mean of its divisors is an integer number (10177760194200).

Almost surely, 2122133122330130 is an apocalyptic number.

122133122330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122133122330130 is an abundant number, since it is smaller than the sum of its proper divisors (203555203884270).

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

122133122330130 is a wasteful number, since it uses less digits than its factorization.

122133122330130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452344897535 (or 452344897529 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122133122330130 its reverse (31033221331221), we get a palindrome (153166343661351).

The spelling of 122133122330130 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 452344897519 904689795038 1357034692557 2261724487595 2714069385114 4071104077671 4523448975190 6785173462785 8142208155342 12213312233013 13570346925570 20355520388355 24426624466026 40711040776710 61066561165065 122133122330130