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13121242401 = 337597128219
BaseRepresentation
bin11000011100001011…
…00100010100100001
31020212102221011202210
430032011210110201
5203333014224101
610010001432333
7643104502011
oct141605442441
936772834683
1013121242401
115623665693
12266233b6a9
131311542277
148c68c9c41
1551be007d6
hex30e164521

13121242401 has 32 divisors (see below), whose sum is σ = 18530380800. Its totient is φ = 8248685760.

The previous prime is 13121242399. The next prime is 13121242403. The reversal of 13121242401 is 10424212131.

It is an interprime number because it is at equal distance from previous prime (13121242399) and next prime (13121242403).

It is not a de Polignac number, because 13121242401 - 21 = 13121242399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450870 + ... + 479088.

It is an arithmetic number, because the mean of its divisors is an integer number (579074400).

Almost surely, 213121242401 is an apocalyptic number.

It is an amenable number.

13121242401 is a deficient number, since it is larger than the sum of its proper divisors (5409138399).

13121242401 is a wasteful number, since it uses less digits than its factorization.

13121242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28389.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13121242401 its reverse (10424212131), we get a palindrome (23545454532).

The spelling of 13121242401 in words is "thirteen billion, one hundred twenty-one million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 37 59 71 111 177 213 2183 2627 4189 6549 7881 12567 28219 84657 154993 464979 1044103 1664921 2003549 3132309 4994763 6010647 61602077 74131313 118209391 184806231 222393939 354628173 4373747467 13121242401