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12045325253301 = 321673937995373
BaseRepresentation
bin1010111101001000010101…
…0101010011101010110101
31120122112002102112112111200
42233102011111103222311
53034322311231101201
641341313535323113
72352150250216104
oct257220525235265
946575072475450
1012045325253301
1139244370a252a
12142656b080499
13694b3bb010b2
142d8dd551603b
1515d4d71aa386
hexaf485553ab5

12045325253301 has 12 divisors (see below), whose sum is σ = 17398909259628. Its totient is φ = 8030167858944.

The previous prime is 12045325253281. The next prime is 12045325253387. The reversal of 12045325253301 is 10335252354021.

12045325253301 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 325 + 25 + 3 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4939955205201 + 7105370048100 = 2222601^2 + 2665590^2 .

It is a de Polignac number, because none of the positive numbers 2k-12045325253301 is a prime.

It is a super-2 number, since 2×120453252533012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045325251301) 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 11 ways as a sum of consecutive naturals, for example, 2491150 + ... + 5504223.

It is an arithmetic number, because the mean of its divisors is an integer number (1449909104969).

Almost surely, 212045325253301 is an apocalyptic number.

It is an amenable number.

12045325253301 is a deficient number, since it is larger than the sum of its proper divisors (5353584006327).

12045325253301 is a wasteful number, since it uses less digits than its factorization.

12045325253301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162772 (or 8162769 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 12045325253301 in words is "twelve trillion, forty-five billion, three hundred twenty-five million, two hundred fifty-three thousand, three hundred one".

Divisors: 1 3 9 167393 502179 1506537 7995373 23986119 71958357 1338369472589 4015108417767 12045325253301