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2122313332131 = 32593996823601
BaseRepresentation
bin11110111000100011101…
…110110111010110100011
321111220001122221220120100
4132320203232313112203
5234232444203112011
64302551032113443
7306221621450016
oct36704356672643
97456048856510
102122313332131
11749082602643
122a339a535883
13125196ab1005
1474a1313537d
153a3160d9d56
hex1ee23bb75a3

2122313332131 has 12 divisors (see below), whose sum is σ = 3117522409560. Its totient is φ = 1390894612800.

The previous prime is 2122313332099. The next prime is 2122313332151. The reversal of 2122313332131 is 1312333132212.

2122313332131 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 313 + 332 + 13 + 1 = 666.

It is not a de Polignac number, because 2122313332131 - 25 = 2122313332099 is a prime.

It is a super-2 number, since 2×21223133321312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122313332095 and 2122313332104.

It is not an unprimeable number, because it can be changed into a prime (2122313332151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1998411270 + ... + 1998412331.

It is an arithmetic number, because the mean of its divisors is an integer number (259793534130).

Almost surely, 22122313332131 is an apocalyptic number.

2122313332131 is a deficient number, since it is larger than the sum of its proper divisors (995209077429).

2122313332131 is a wasteful number, since it uses less digits than its factorization.

2122313332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996823666 (or 3996823663 counting only the distinct ones).

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

Adding to 2122313332131 its reverse (1312333132212), we get a palindrome (3434646464343).

The spelling of 2122313332131 in words is "two trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 59 177 531 3996823601 11990470803 35971412409 235812592459 707437777377 2122313332131