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131224222201001 = 19591031136504527
BaseRepresentation
bin11101110101100100000101…
…001001100111010010101001
3122012121220122200001200220212
4131311210011021213102221
5114144434201340413001
61143031324144230505
736432431361546356
oct3565440511472251
9565556580050825
10131224222201001
11388a2975473456
121287417260b435
13582b5111c76b7
14245940164362d
15102869aa177bb
hex7759052674a9

131224222201001 has 16 divisors (see below), whose sum is σ = 141835765094400. Its totient is φ = 121024093964688.

The previous prime is 131224222200997. The next prime is 131224222201099. The reversal of 131224222201001 is 100102222422131.

It is a cyclic number.

It is not a de Polignac number, because 131224222201001 - 22 = 131224222200997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131224222201901) 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 15 ways as a sum of consecutive naturals, for example, 568136801 + ... + 568367726.

It is an arithmetic number, because the mean of its divisors is an integer number (8864735318400).

Almost surely, 2131224222201001 is an apocalyptic number.

It is an amenable number.

131224222201001 is a deficient number, since it is larger than the sum of its proper divisors (10611542893399).

131224222201001 is a wasteful number, since it uses less digits than its factorization.

131224222201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136504708.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 131224222201001 its reverse (100102222422131), we get a palindrome (231326444623132).

The spelling of 131224222201001 in words is "one hundred thirty-one trillion, two hundred twenty-four billion, two hundred twenty-two million, two hundred one thousand, one".

Divisors: 1 19 59 103 1121 1957 6077 115463 1136504527 21593586013 67053767093 117059966281 1274021574767 2224139359339 6906538010579 131224222201001