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2122120133 = 74314947317
BaseRepresentation
bin111111001111100…
…1111101111000101
312110220010212112222
41332133033233011
513321230321013
6550324222125
7103405503110
oct17637175705
95426125488
102122120133
119999772a1
124b283a945
1327a8642b3
14161ba7577
15c6486508
hex7e7cfbc5

2122120133 has 16 divisors (see below), whose sum is σ = 2498390400. Its totient is φ = 1764697536.

The previous prime is 2122120129. The next prime is 2122120141. The reversal of 2122120133 is 3310212212.

It is not a de Polignac number, because 2122120133 - 22 = 2122120129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122120103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21191 + ... + 68507.

It is an arithmetic number, because the mean of its divisors is an integer number (156149400).

Almost surely, 22122120133 is an apocalyptic number.

It is an amenable number.

2122120133 is a deficient number, since it is larger than the sum of its proper divisors (376270267).

2122120133 is a wasteful number, since it uses less digits than its factorization.

2122120133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47516.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2122120133 is about 46066.4751527616. The cubic root of 2122120133 is about 1285.0597524537.

Adding to 2122120133 its reverse (3310212212), we get a palindrome (5432332345).

The spelling of 2122120133 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 7 43 149 301 1043 6407 44849 47317 331219 2034631 7050233 14242417 49351631 303160019 2122120133