Search a number
-
+
3131301333221 = 23831998242631
BaseRepresentation
bin101101100100010000000…
…110101000100011100101
3102002100102202220002122122
4231210100012220203211
5402300401120130341
610354255554435325
7442141365113615
oct55442006504345
912070382802578
103131301333221
11aa7a82a73806
12426a4a592b45
131993851b8499
14ab7ad14ca45
15566bb95c94b
hex2d9101a88e5

3131301333221 has 16 divisors (see below), whose sum is σ = 3323429222400. Its totient is φ = 2944201494960.

The previous prime is 3131301333217. The next prime is 3131301333239. The reversal of 3131301333221 is 1223331031313.

It is a cyclic number.

It is not a de Polignac number, because 3131301333221 - 22 = 3131301333217 is a prime.

It is a super-2 number, since 2×31313013332212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131301323221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3741425 + ... + 4501206.

It is an arithmetic number, because the mean of its divisors is an integer number (207714326400).

Almost surely, 23131301333221 is an apocalyptic number.

It is an amenable number.

3131301333221 is a deficient number, since it is larger than the sum of its proper divisors (192127889179).

3131301333221 is a wasteful number, since it uses less digits than its factorization.

3131301333221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242936.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 3131301333221 its reverse (1223331031313), we get a palindrome (4354632364534).

The spelling of 3131301333221 in words is "three trillion, one hundred thirty-one billion, three hundred one million, three hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 23 83 199 1909 4577 16517 379891 8242631 189580513 684138373 1640283569 15735182579 37726522087 136143536227 3131301333221