Search a number
-
+
323131010053 = 6114938991393
BaseRepresentation
bin1001011001111000001…
…10111110110000000101
31010220001120000002100011
410230330012332300011
520243233014310203
6404235550550221
732226326160415
oct4547406766005
91126046002304
10323131010053
11115048038535
125275bb08371
132461809b1c7
14118d51b4645
15861324b76d
hex4b3c1bec05

323131010053 has 16 divisors (see below), whose sum is σ = 331486038000. Its totient is φ = 314885652480.

The previous prime is 323131010047. The next prime is 323131010057. The reversal of 323131010053 is 350010131323.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 182908471684 + 140222538369 = 427678^2 + 374463^2 .

It is a cyclic number.

It is not a de Polignac number, because 323131010053 - 25 = 323131010021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323131010057) 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, 3489925 + ... + 3581317.

It is an arithmetic number, because the mean of its divisors is an integer number (20717877375).

Almost surely, 2323131010053 is an apocalyptic number.

It is an amenable number.

323131010053 is a deficient number, since it is larger than the sum of its proper divisors (8355027947).

323131010053 is a wasteful number, since it uses less digits than its factorization.

323131010053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91992.

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 323131010053 its reverse (350010131323), we get a palindrome (673141141376).

The spelling of 323131010053 in words is "three hundred twenty-three billion, one hundred thirty-one million, ten thousand, fifty-three".

Divisors: 1 61 149 389 9089 23729 57961 91393 3535621 5574973 13617557 35551877 830670977 2168664497 5297229673 323131010053