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131321221303212 = 22334912476450579
BaseRepresentation
bin11101110110111110011010…
…101111110100101110101100
3122012222012000200222122022000
4131312332122233310232230
5114203031330123200322
61143144045231452300
736442434166402623
oct3566763257645654
9565865020878260
10131321221303212
1138930020985636
121288ab23387090
1358376cc09a075
14245dda3d066ba
15102ae765823ac
hex776f9abf4bac

131321221303212 has 48 divisors (see below), whose sum is σ = 341155831900800. Its totient is φ = 43684588195920.

The previous prime is 131321221303211. The next prime is 131321221303277. The reversal of 131321221303212 is 212303122123131.

131321221303212 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 2 + 2 + 13 + 0 + 321 + 2 = 666.

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 (131321221303211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1238172262 + ... + 1238278317.

It is an arithmetic number, because the mean of its divisors is an integer number (7107413164600).

Almost surely, 2131321221303212 is an apocalyptic number.

131321221303212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131321221303212 is an abundant number, since it is smaller than the sum of its proper divisors (209834610597588).

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

131321221303212 is a wasteful number, since it uses less digits than its factorization.

131321221303212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476451083 (or 2476451075 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131321221303212 its reverse (212303122123131), we get a palindrome (343624343426343).

The spelling of 131321221303212 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 491 982 1473 1964 2946 4419 5892 8838 13257 17676 26514 53028 2476450579 4952901158 7429351737 9905802316 14858703474 22288055211 29717406948 44576110422 66864165633 89152220844 133728331266 267456662532 1215937234289 2431874468578 3647811702867 4863748937156 7295623405734 10943435108601 14591246811468 21886870217202 32830305325803 43773740434404 65660610651606 131321221303212