Search a number
-
+
131201120322 = 2327288951129
BaseRepresentation
bin111101000110000110…
…0100011100001000010
3110112122122001110221200
41322030030203201002
54122144441322242
6140134543202030
712323200056606
oct1721414434102
9415578043850
10131201120322
1150707680658
1221516ba6316
13c4ab99bc0c
1464c8c0b506
15362d52104c
hex1e8c323842

131201120322 has 12 divisors (see below), whose sum is σ = 284269094070. Its totient is φ = 43733706768.

The previous prime is 131201120291. The next prime is 131201120389. The reversal of 131201120322 is 223021102131.

131201120322 is a `hidden beast` number, since 1 + 312 + 0 + 11 + 20 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129973949361 + 1227170961 = 360519^2 + 35031^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7288951129 = 131201120322 / (1 + 3 + 1 + 2 + 0 + 1 + 1 + 2 + 0 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 131201120295 and 131201120304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3644475547 + ... + 3644475582.

Almost surely, 2131201120322 is an apocalyptic number.

131201120322 is an abundant number, since it is smaller than the sum of its proper divisors (153067973748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131201120322 is a wasteful number, since it uses less digits than its factorization.

131201120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288951137 (or 7288951134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131201120322 its reverse (223021102131), we get a palindrome (354222222453).

The spelling of 131201120322 in words is "one hundred thirty-one billion, two hundred one million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 7288951129 14577902258 21866853387 43733706774 65600560161 131201120322