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131212002213313 = 7210360692584573
BaseRepresentation
bin11101110101011000101100…
…110010000011110111000001
3122012120202010001000000012021
4131311120230302003313001
5114144234140031311223
61143021543415401441
736431516506430200
oct3565305462036701
9565522101000167
10131212002213313
113889877461787a
1212871922083281
13582a3145cac58
1424589a271d237
1510281d2ce065d
hex77562cc83dc1

131212002213313 has 12 divisors (see below), whose sum is σ = 152634576298260. Its totient is φ = 112467278401632.

The previous prime is 131212002213283. The next prime is 131212002213337. The reversal of 131212002213313 is 313312200212131.

It can be written as a sum of positive squares in 2 ways, for example, as 30389276946609 + 100822725266704 = 5512647^2 + 10041052^2 .

It is a de Polignac number, because none of the positive numbers 2k-131212002213313 is a prime.

It is a super-2 number, since 2×1312120022133132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131212002213113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49475095 + ... + 52059667.

It is an arithmetic number, because the mean of its divisors is an integer number (12719548024855).

Almost surely, 2131212002213313 is an apocalyptic number.

It is an amenable number.

131212002213313 is a deficient number, since it is larger than the sum of its proper divisors (21422574084947).

131212002213313 is a wasteful number, since it uses less digits than its factorization.

131212002213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620656 (or 3620649 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131212002213313 its reverse (313312200212131), we get a palindrome (444524202425444).

The spelling of 131212002213313 in words is "one hundred thirty-one trillion, two hundred twelve billion, two million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 7 49 1036069 2584573 7252483 18092011 50767381 126644077 2677795963537 18744571744759 131212002213313