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13024800253 = 229389146213
BaseRepresentation
bin11000010000101011…
…01010110111111101
31020121201110102000101
430020111222313331
5203133322102003
65552234401101
7640523655403
oct141025526775
936551412011
1013024800253
115584184233
122635b90191
1312c7575cca
148b7b83473
1551370011d
hex30856adfd

13024800253 has 8 divisors (see below), whose sum is σ = 13115395800. Its totient is φ = 12934498368.

The previous prime is 13024800241. The next prime is 13024800277. The reversal of 13024800253 is 35200842031.

It can be written as a sum of positive squares in 4 ways, for example, as 7506836164 + 5517964089 = 86642^2 + 74283^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13024800253 - 225 = 12991245821 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 (13024800353) 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 7 ways as a sum of consecutive naturals, for example, 15975 + ... + 162187.

It is an arithmetic number, because the mean of its divisors is an integer number (1639424475).

Almost surely, 213024800253 is an apocalyptic number.

It is an amenable number.

13024800253 is a deficient number, since it is larger than the sum of its proper divisors (90595547).

13024800253 is a wasteful number, since it uses less digits than its factorization.

13024800253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146831.

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 13024800253 in words is "thirteen billion, twenty-four million, eight hundred thousand, two hundred fifty-three".

Divisors: 1 229 389 89081 146213 33482777 56876857 13024800253