Search a number
-
+
3131302242141 = 322739011270249
BaseRepresentation
bin101101100100010000001…
…010000110011101011101
3102002100102211121021110100
4231210100022012131131
5402300401333222031
610354300030131313
7442141405620543
oct55442012063535
912070384537410
103131302242141
11aa7a83534687
12426a4a950b39
131993854460c8
14ab7ad307d93
15566bba8bde6
hex2d91028675d

3131302242141 has 12 divisors (see below), whose sum is σ = 4523012201500. Its totient is φ = 2087525563200.

The previous prime is 3131302242139. The next prime is 3131302242149. The reversal of 3131302242141 is 1412422031313.

3131302242141 is a `hidden beast` number, since 313 + 1 + 302 + 2 + 4 + 2 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1550159462916 + 1581142779225 = 1245054^2 + 1257435^2 .

It is not a de Polignac number, because 3131302242141 - 21 = 3131302242139 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 (3131302242149) 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 11 ways as a sum of consecutive naturals, for example, 1829985 + ... + 3100233.

Almost surely, 23131302242141 is an apocalyptic number.

It is an amenable number.

3131302242141 is a deficient number, since it is larger than the sum of its proper divisors (1391709959359).

3131302242141 is a wasteful number, since it uses less digits than its factorization.

3131302242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544156 (or 1544153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3131302242141 its reverse (1412422031313), we get a palindrome (4543724273454).

The spelling of 3131302242141 in words is "three trillion, one hundred thirty-one billion, three hundred two million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 273901 821703 1270249 2465109 3810747 11432241 347922471349 1043767414047 3131302242141