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4002102022131 = 32617289803319
BaseRepresentation
bin111010001111001111110…
…111101000111111110011
3112011121010101000111012200
4322033033313220333303
51011032301104202011
612302312411354243
7562066550621403
oct72171767507763
915147111014180
104002102022131
111303311290a44
12547773a52983
13230520443b05
14db9ba594803
156e1857c1856
hex3a3cfde8ff3

4002102022131 has 12 divisors (see below), whose sum is σ = 5875581475920. Its totient is φ = 2624329194480.

The previous prime is 4002102022003. The next prime is 4002102022133. The reversal of 4002102022131 is 1312202012004.

It is a happy number.

4002102022131 is a `hidden beast` number, since 40 + 0 + 210 + 202 + 213 + 1 = 666.

It is not a de Polignac number, because 4002102022131 - 27 = 4002102022003 is a prime.

It is a super-2 number, since 2×40021020221312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4002102022133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3644901111 + ... + 3644902208.

It is an arithmetic number, because the mean of its divisors is an integer number (489631789660).

Almost surely, 24002102022131 is an apocalyptic number.

4002102022131 is a deficient number, since it is larger than the sum of its proper divisors (1873479453789).

4002102022131 is a wasteful number, since it uses less digits than its factorization.

4002102022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289803386 (or 7289803383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4002102022131 its reverse (1312202012004), we get a palindrome (5314304034135).

The spelling of 4002102022131 in words is "four trillion, two billion, one hundred two million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 61 183 549 7289803319 21869409957 65608229871 444678002459 1334034007377 4002102022131