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131211443322 = 2341922243621
BaseRepresentation
bin111101000110011001…
…1111011110001111010
3110112200100110221110000
41322030303323301322
54122210112141242
6140135552333430
712323353603041
oct1721463736172
9415610427400
10131211443322
1150712491463
122151a544276
13c4b0b747bb
1464ca337558
15362e3aea4c
hex1e8ccfbc7a

131211443322 has 60 divisors (see below), whose sum is σ = 310299653466. Its totient is φ = 41435174160.

The previous prime is 131211443309. The next prime is 131211443323. The reversal of 131211443322 is 223344112131.

131211443322 is a `hidden beast` number, since 1 + 3 + 1 + 211 + 443 + 3 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119196872001 + 12014571321 = 345249^2 + 109611^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131211443323) 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 29 ways as a sum of consecutive naturals, for example, 1063329 + ... + 1180292.

Almost surely, 2131211443322 is an apocalyptic number.

131211443322 is an abundant number, since it is smaller than the sum of its proper divisors (179088210144).

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

131211443322 is a wasteful number, since it uses less digits than its factorization.

131211443322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243673 (or 2243645 counting only the distinct ones).

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

Adding to 131211443322 its reverse (223344112131), we get a palindrome (354555555453).

The spelling of 131211443322 in words is "one hundred thirty-one billion, two hundred eleven million, four hundred forty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 722 1026 1083 1539 2166 3078 3249 6498 9747 19494 29241 58482 2243621 4487242 6730863 13461726 20192589 40385178 42628799 60577767 85257598 121155534 127886397 181733301 255772794 363466602 383659191 767318382 809947181 1150977573 1619894362 2301955146 2429841543 3452932719 4859683086 6905865438 7289524629 14579049258 21868573887 43737147774 65605721661 131211443322