Search a number
-
+
202012223332113 = 32103238699129851
BaseRepresentation
bin101101111011101010100010…
…110011111101111100010001
3222111021011212011211111221200
4231323222202303331330101
5202434232013133111423
61553351044554541413
760356621133401415
oct5573524263757421
9874234764744850
10202012223332113
11594049a26944a7
121a7a73a4a37869
13889489502103c
1437c562da28d45
151854c05204d43
hexb7baa2cfdf11

202012223332113 has 24 divisors (see below), whose sum is σ = 294640774908480. Its totient is φ = 133361690997600.

The previous prime is 202012223332111. The next prime is 202012223332163. The reversal of 202012223332113 is 311233322210202.

202012223332113 is a `hidden beast` number, since 20 + 201 + 2 + 223 + 3 + 3 + 211 + 3 = 666.

It is not a de Polignac number, because 202012223332113 - 21 = 202012223332111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202012223332111) 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 23 ways as a sum of consecutive naturals, for example, 17561638 + ... + 26691488.

It is an arithmetic number, because the mean of its divisors is an integer number (12276698954520).

Almost surely, 2202012223332113 is an apocalyptic number.

It is an amenable number.

202012223332113 is a deficient number, since it is larger than the sum of its proper divisors (92628551576367).

202012223332113 is a wasteful number, since it uses less digits than its factorization.

202012223332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9153829 (or 9153826 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 202012223332113 its reverse (311233322210202), we get a palindrome (513245545542315).

The spelling of 202012223332113 in words is "two hundred two trillion, twelve billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 103 309 927 23869 71607 214821 2458507 7375521 9129851 22126563 27389553 82168659 940374653 2821123959 8463371877 217920413519 653761240557 1961283721671 22445802592457 67337407777371 202012223332113