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13346256001 = 132181436309
BaseRepresentation
bin11000110110111111…
…11011010010000001
31021110010100001101211
430123133323102001
5204313120143001
610044200330121
7651506206231
oct143337732201
937403301354
1013346256001
115729682741
122705773941
131349046a00
1490873dcc1
15531a4b351
hex31b7fb481

13346256001 has 12 divisors (see below), whose sum is σ = 14531740860. Its totient is φ = 12251528640.

The previous prime is 13346255981. The next prime is 13346256019. The reversal of 13346256001 is 10065264331.

It can be written as a sum of positive squares in 6 ways, for example, as 6926400625 + 6419855376 = 83225^2 + 80124^2 .

It is not a de Polignac number, because 13346256001 - 231 = 11198772353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13346256031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187566 + ... + 248743.

It is an arithmetic number, because the mean of its divisors is an integer number (1210978405).

Almost surely, 213346256001 is an apocalyptic number.

It is an amenable number.

13346256001 is a deficient number, since it is larger than the sum of its proper divisors (1185484859).

13346256001 is a wasteful number, since it uses less digits than its factorization.

13346256001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436516 (or 436503 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13346256001 in words is "thirteen billion, three hundred forty-six million, two hundred fifty-six thousand, one".

Divisors: 1 13 169 181 2353 30589 436309 5672017 73736221 78971929 1026635077 13346256001