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2122131201021 = 321318137873513
BaseRepresentation
bin11110111000011000111…
…000000101101111111101
321111212120222020200122200
4132320120320011233331
5234232111041413041
64302521004302113
7306214250404356
oct36703070055775
97455528220580
102122131201021
11748a99814867
122a3349541939
13125168142120
14749d6c84d2d
153a3051101b6
hex1ee18e05bfd

2122131201021 has 12 divisors (see below), whose sum is σ = 3301092979548. Its totient is φ = 1305926892864.

The previous prime is 2122131201013. The next prime is 2122131201031. The reversal of 2122131201021 is 1201021312212.

It can be written as a sum of positive squares in 2 ways, for example, as 1284697568025 + 837433632996 = 1133445^2 + 915114^2 .

It is not a de Polignac number, because 2122131201021 - 23 = 2122131201013 is a prime.

It is a super-2 number, since 2×21221312010212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122131200985 and 2122131201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122131201031) 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, 9068936640 + ... + 9068936873.

It is an arithmetic number, because the mean of its divisors is an integer number (275091081629).

Almost surely, 22122131201021 is an apocalyptic number.

It is an amenable number.

2122131201021 is a deficient number, since it is larger than the sum of its proper divisors (1178961778527).

2122131201021 is a wasteful number, since it uses less digits than its factorization.

2122131201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137873532 (or 18137873529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122131201021 its reverse (1201021312212), we get a palindrome (3323152513233).

The spelling of 2122131201021 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 13 39 117 18137873513 54413620539 163240861617 235792355669 707377067007 2122131201021