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130012203420413 = 1746137974369117
BaseRepresentation
bin11101100011111011010011…
…001100111000101011111101
3122001100001012222220021110122
4131203323103030320223331
5114020104443033423123
61140302440503344325
736246033413106566
oct3543732314705375
9561301188807418
10130012203420413
1138475958468646
12126b929ba520a5
135771137900b02
1424168a4c0d16d
151006db0aebbc8
hex763ed3338afd

130012203420413 has 16 divisors (see below), whose sum is σ = 137994956923824. Its totient is φ = 122066809512960.

The previous prime is 130012203420383. The next prime is 130012203420457. The reversal of 130012203420413 is 314024302210031.

It can be written as a sum of positive squares in 8 ways, for example, as 28358159756644 + 101654043663769 = 5325238^2 + 10082363^2 .

It is a cyclic number.

It is not a de Polignac number, because 130012203420413 - 210 = 130012203419389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012203420313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27572531 + ... + 31941647.

It is an arithmetic number, because the mean of its divisors is an integer number (8624684807739).

Almost surely, 2130012203420413 is an apocalyptic number.

It is an amenable number.

130012203420413 is a deficient number, since it is larger than the sum of its proper divisors (7982753503411).

130012203420413 is a wasteful number, since it uses less digits than its factorization.

130012203420413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373392.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 130012203420413 its reverse (314024302210031), we get a palindrome (444036505630444).

The spelling of 130012203420413 in words is "one hundred thirty trillion, twelve billion, two hundred three million, four hundred twenty thousand, four hundred thirteen".

Divisors: 1 17 461 3797 7837 64549 1750417 4369117 29757089 74274989 2014162937 16589537249 34240769929 282022133233 7647776671789 130012203420413