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131022211220 = 22518136193981
BaseRepresentation
bin111101000000110001…
…0000100100010010100
3110112012011101221210122
41322001202010202110
54121313141224340
6140105112411112
712315565263665
oct1720142044224
9415164357718
10131022211220
115062569359a
12214870a6a98
13c4808ba744
1464ad15936c
15361c980db5
hex1e81884894

131022211220 has 24 divisors (see below), whose sum is σ = 276666798408. Its totient is φ = 52119331200.

The previous prime is 131022211211. The next prime is 131022211241. The reversal of 131022211220 is 22112220131.

It can be written as a sum of positive squares in 4 ways, for example, as 12457684996 + 118564526224 = 111614^2 + 344332^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18093371 + ... + 18100610.

It is an arithmetic number, because the mean of its divisors is an integer number (11527783267).

Almost surely, 2131022211220 is an apocalyptic number.

131022211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022211220 is an abundant number, since it is smaller than the sum of its proper divisors (145644587188).

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

131022211220 is a wasteful number, since it uses less digits than its factorization.

131022211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36194171 (or 36194169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131022211220 its reverse (22112220131), we get a palindrome (153134431351).

The spelling of 131022211220 in words is "one hundred thirty-one billion, twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 36193981 72387962 144775924 180969905 361939810 723879620 6551110561 13102221122 26204442244 32755552805 65511105610 131022211220