Search a number
-
+
8281135356201 = 3261313271131139
BaseRepresentation
bin111100010000001101000…
…1000011001100100101001
31002022200001120011020021100
41320200122020121210221
52041134231122344301
625340145010232013
71513202153055231
oct170403210314451
932280046136240
108281135356201
112703012024424
12b18b33585609
13480ba5327a36
14208b481dccc1
15e56283c5286
hex7881a219929

8281135356201 has 24 divisors (see below), whose sum is σ = 11990192589440. Its totient is φ = 5507592363936.

The previous prime is 8281135356173. The next prime is 8281135356209. The reversal of 8281135356201 is 1026535311828.

8281135356201 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 13 + 5 + 3 + 5 + 620 + 1 = 666.

It is not a de Polignac number, because 8281135356201 - 213 = 8281135348009 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8281135356209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6755490 + ... + 7886628.

Almost surely, 28281135356201 is an apocalyptic number.

It is an amenable number.

8281135356201 is a deficient number, since it is larger than the sum of its proper divisors (3709057233239).

8281135356201 is a wasteful number, since it uses less digits than its factorization.

8281135356201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133085 (or 1133082 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 8281135356201 in words is "eight trillion, two hundred eighty-one billion, one hundred thirty-five million, three hundred fifty-six thousand, two hundred one".

Divisors: 1 3 9 613 1327 1839 3981 5517 11943 813451 1131139 2440353 3393417 7321059 10180251 693388207 1501021453 2080164621 4503064359 6240493863 13509193077 920126150689 2760378452067 8281135356201