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131212241210001 = 37128929391649311
BaseRepresentation
bin11101110101011000111011…
…000001110000101010010001
3122012120202201200201022000110
4131311120323001300222101
5114144240132222210001
61143022023234111533
736431525441033430
oct3565307301605221
9565522650638013
10131212241210001
11388988875155a6
121287198a11b5a9
13582a351c8a203
1424589c6373117
1510281e8c9e3d6
hex77563b070a91

131212241210001 has 32 divisors (see below), whose sum is σ = 200165782118400. Its totient is φ = 74894718487680.

The previous prime is 131212241209999. The next prime is 131212241210003. The reversal of 131212241210001 is 100012142212131.

It is an interprime number because it is at equal distance from previous prime (131212241209999) and next prime (131212241210003).

It is not a de Polignac number, because 131212241210001 - 21 = 131212241209999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131212241210001.

It is not an unprimeable number, because it can be changed into a prime (131212241210003) 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, 78731136 + ... + 80380446.

It is an arithmetic number, because the mean of its divisors is an integer number (6255180691200).

Almost surely, 2131212241210001 is an apocalyptic number.

It is an amenable number.

131212241210001 is a deficient number, since it is larger than the sum of its proper divisors (68953540908399).

131212241210001 is a wasteful number, since it uses less digits than its factorization.

131212241210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653549.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 131212241210001 its reverse (100012142212131), we get a palindrome (231224383422132).

The spelling of 131212241210001 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred forty-one million, two hundred ten thousand, one".

Divisors: 1 3 7 21 1289 2939 3867 8817 9023 20573 27069 61719 1649311 3788371 4947933 11365113 11545177 26518597 34635531 79555791 2125961879 4847325029 6377885637 14541975087 14881733153 33931275203 44645199459 101793825609 6248201962381 18744605887143 43737413736667 131212241210001