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131220412441 = 7914929338047
BaseRepresentation
bin111101000110101011…
…0001001100000011001
3110112200222100121202121
41322031112021200121
54122214411144231
6140140512501241
712323523050056
oct1721526114031
9415628317677
10131220412441
1150717558058
122152154a821
13c4b2995081
1464cb5d002d
153630082311
hex1e8d589819

131220412441 has 16 divisors (see below), whose sum is σ = 134233344000. Its totient is φ = 128247283008.

The previous prime is 131220412439. The next prime is 131220412459. The reversal of 131220412441 is 144214022131.

It is a cyclic number.

It is not a de Polignac number, because 131220412441 - 21 = 131220412439 is a prime.

It is a super-2 number, since 2×1312204124412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131220412471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429880 + ... + 3467926.

It is an arithmetic number, because the mean of its divisors is an integer number (8389584000).

Almost surely, 2131220412441 is an apocalyptic number.

It is an amenable number.

131220412441 is a deficient number, since it is larger than the sum of its proper divisors (3012931559).

131220412441 is a wasteful number, since it uses less digits than its factorization.

131220412441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38568.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131220412441 its reverse (144214022131), we get a palindrome (275434434572).

The spelling of 131220412441 in words is "one hundred thirty-one billion, two hundred twenty million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 79 149 293 11771 23147 38047 43657 3005713 3448903 5669003 11147771 447851237 880673909 1661017879 131220412441