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131301244202241 = 31511672222978079
BaseRepresentation
bin11101110110101011110100…
…000001001110110100000001
3122012220021110110112202121110
4131312223310001032310001
5114202214422003432431
61143130543041113533
736441126143011011
oct3566536401166401
9565807413482543
10131301244202241
11389225aa376a33
12128870890288a9
13583586737c269
14245d02aaa1c41
15102a6a783b346
hex776af404ed01

131301244202241 has 32 divisors (see below), whose sum is σ = 177293220249600. Its totient is φ = 86428785643200.

The previous prime is 131301244202231. The next prime is 131301244202287. The reversal of 131301244202241 is 142202442103131.

It is a happy number.

It is not a de Polignac number, because 131301244202241 - 213 = 131301244194049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131301244202199 and 131301244202208.

It is not an unprimeable number, because it can be changed into a prime (131301244202201) 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 31 ways as a sum of consecutive naturals, for example, 1681607040 + ... + 1681685118.

It is an arithmetic number, because the mean of its divisors is an integer number (5540413132800).

Almost surely, 2131301244202241 is an apocalyptic number.

It is an amenable number.

131301244202241 is a deficient number, since it is larger than the sum of its proper divisors (45991976047359).

131301244202241 is a wasteful number, since it uses less digits than its factorization.

131301244202241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100629.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131301244202241 its reverse (142202442103131), we get a palindrome (273503686305372).

The spelling of 131301244202241 in words is "one hundred thirty-one trillion, three hundred one billion, two hundred forty-four million, two hundred two thousand, two hundred forty-one".

Divisors: 1 3 151 167 453 501 22229 25217 66687 75651 78079 234237 3356579 3712243 10069737 11136729 11789929 13039193 35369787 39117579 560548693 1681646079 1735618091 1968918143 5206854273 5906754429 262078331741 289848221197 786234995223 869544663591 43767081400747 131301244202241