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2122053525261 = 321756871342067
BaseRepresentation
bin11110111000010100001…
…111110001111100001101
321111212101120002100112200
4132320110033301330031
5234231431200302021
64302505151352113
7306212315231415
oct36702417617415
97455346070480
102122053525261
11748a5999091a
122a3327522639
13125155016937
14749ca825645
153a2ed3ba126
hex1ee143f1f0d

2122053525261 has 12 divisors (see below), whose sum is σ = 3065208156192. Its totient is φ = 1414693243656.

The previous prime is 2122053525257. The next prime is 2122053525301. The reversal of 2122053525261 is 1625253502212.

2122053525261 is a `hidden beast` number, since 2 + 1 + 2 + 20 + 53 + 525 + 2 + 61 = 666.

It is not a de Polignac number, because 2122053525261 - 22 = 2122053525257 is a prime.

It is a super-2 number, since 2×21220535252612 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122053525211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910150 + ... + 2252216.

It is an arithmetic number, because the mean of its divisors is an integer number (255434013016).

Almost surely, 22122053525261 is an apocalyptic number.

It is an amenable number.

2122053525261 is a deficient number, since it is larger than the sum of its proper divisors (943154630931).

2122053525261 is a wasteful number, since it uses less digits than its factorization.

2122053525261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517760 (or 1517757 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2122053525261 in words is "two trillion, one hundred twenty-two billion, fifty-three million, five hundred twenty-five thousand, two hundred sixty-one".

Divisors: 1 3 9 175687 527061 1342067 1581183 4026201 12078603 235783725029 707351175087 2122053525261