Search a number
-
+
10131332431201 = 79128244714319
BaseRepresentation
bin1001001101101110001001…
…1110000111110101100001
31022212112201222101000102221
42103123202132013311201
52311442432100244301
633314134142511041
72063651601524602
oct223334236076541
938775658330387
1010131332431201
113256746041463
12117762a895481
135864c40b1787
1427050555bda9
15128814c50da1
hex936e2787d61

10131332431201 has 4 divisors (see below), whose sum is σ = 10259577145600. Its totient is φ = 10003087716804.

The previous prime is 10131332431189. The next prime is 10131332431309. The reversal of 10131332431201 is 10213423313101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10131332431201 - 227 = 10131198213473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131332431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64122357081 + ... + 64122357238.

It is an arithmetic number, because the mean of its divisors is an integer number (2564894286400).

Almost surely, 210131332431201 is an apocalyptic number.

It is an amenable number.

10131332431201 is a deficient number, since it is larger than the sum of its proper divisors (128244714399).

10131332431201 is an equidigital number, since it uses as much as digits as its factorization.

10131332431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128244714398.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10131332431201 its reverse (10213423313101), we get a palindrome (20344755744302).

The spelling of 10131332431201 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, four hundred thirty-one thousand, two hundred one".

Divisors: 1 79 128244714319 10131332431201