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2131122200123 = 717136713100651
BaseRepresentation
bin11111000000110000110…
…010000001111000111011
321112201210120101202202102
4133000300302001320323
5234404014240400443
64311005104454015
7306653123546630
oct37006062017073
97481716352672
102131122200123
11751892a18534
122a503861a30b
13125c6ba90537
147520add6187
153a67e60ecb8
hex1f030c81e3b

2131122200123 has 16 divisors (see below), whose sum is σ = 2580723638784. Its totient is φ = 1717966838400.

The previous prime is 2131122200111. The next prime is 2131122200131. The reversal of 2131122200123 is 3210022211312.

It is a cyclic number.

It is not a de Polignac number, because 2131122200123 - 24 = 2131122200107 is a prime.

It is a super-2 number, since 2×21311222001232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2131122200095 and 2131122200104.

It is not an unprimeable number, because it can be changed into a prime (2131122200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387653 + ... + 6712998.

It is an arithmetic number, because the mean of its divisors is an integer number (161295227424).

Almost surely, 22131122200123 is an apocalyptic number.

2131122200123 is a deficient number, since it is larger than the sum of its proper divisors (449601438661).

2131122200123 is a wasteful number, since it uses less digits than its factorization.

2131122200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102042.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2131122200123 its reverse (3210022211312), we get a palindrome (5341144411435).

The spelling of 2131122200123 in words is "two trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-three".

Divisors: 1 7 17 119 1367 9569 23239 162673 13100651 91704557 222711067 1558977469 17908589917 125360129419 304446028589 2131122200123