Search a number
-
+
2256315300261 = 331141051185063
BaseRepresentation
bin100000110101010110110…
…111110011100110100101
321222200221111022012102000
4200311112313303212211
5243431413204102021
64444311551235513
7322004411415651
oct40652667634645
97880844265360
102256315300261
1179a99718a650
12305357518b99
13134a00b16009
147b2c5d07a61
153da5a461b26
hex20d56df39a5

2256315300261 has 32 divisors (see below), whose sum is σ = 3646678717440. Its totient is φ = 1367423118000.

The previous prime is 2256315300229. The next prime is 2256315300319. The reversal of 2256315300261 is 1620035136522.

2256315300261 is a `hidden beast` number, since 2 + 2 + 5 + 63 + 1 + 530 + 0 + 2 + 61 = 666.

It is not a de Polignac number, because 2256315300261 - 25 = 2256315300229 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256315300961) 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 31 ways as a sum of consecutive naturals, for example, 12099616 + ... + 12284678.

It is an arithmetic number, because the mean of its divisors is an integer number (113958709920).

Almost surely, 22256315300261 is an apocalyptic number.

It is an amenable number.

2256315300261 is a deficient number, since it is larger than the sum of its proper divisors (1390363417179).

2256315300261 is a wasteful number, since it uses less digits than its factorization.

2256315300261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226134 (or 226128 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2256315300261 in words is "two trillion, two hundred fifty-six billion, three hundred fifteen million, three hundred thousand, two hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 297 41051 123153 185063 369459 451561 555189 1108377 1354683 1665567 2035693 4064049 4996701 6107079 12192147 18321237 54963711 7597021213 22791063639 68373190917 83567233343 205119572751 250701700029 752105100087 2256315300261