Search a number
-
+
131223321313220 = 22541597157731713
BaseRepresentation
bin11101110101100011001111…
…011100111111111111000100
3122012121211022212212212012202
4131311203033130333333010
5114144430330224010340
61143031054523134032
736432400142252363
oct3565431734777704
9565554285785182
10131223321313220
11388a25529950a4
1212873b60974318
13582b3c967cbc6
142459357b357da
1510286468b2c15
hex7758cf73ffc4

131223321313220 has 24 divisors (see below), whose sum is σ = 275575601236824. Its totient is φ = 52488066338816.

The previous prime is 131223321313087. The next prime is 131223321313261. The reversal of 131223321313220 is 22313123322131.

It can be written as a sum of positive squares in 4 ways, for example, as 34859884659076 + 96363436654144 = 5904226^2 + 9816488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78033917 + ... + 79697796.

It is an arithmetic number, because the mean of its divisors is an integer number (11482316718201).

Almost surely, 2131223321313220 is an apocalyptic number.

131223321313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223321313220 is an abundant number, since it is smaller than the sum of its proper divisors (144352279923604).

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

131223321313220 is a wasteful number, since it uses less digits than its factorization.

131223321313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157773319 (or 157773317 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 131223321313220 its reverse (22313123322131), we get a palindrome (153536444635351).

The spelling of 131223321313220 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41597 83194 166388 207985 415970 831940 157731713 315463426 630926852 788658565 1577317130 3154634260 6561166065661 13122332131322 26244664262644 32805830328305 65611660656610 131223321313220