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10222300011 = 3711731633719
BaseRepresentation
bin10011000010100101…
…11110101101101011
3222101102001122102010
421201102332231223
5131413402100021
64410203211003
7511214054640
oct114122765553
928342048363
1010222300011
114376249330
121b93516a63
13c6ba81a41
146cd8abdc7
153ec66e976
hex2614beb6b

10222300011 has 64 divisors (see below), whose sum is σ = 17336033280. Its totient is φ = 5204010240.

The previous prime is 10222300007. The next prime is 10222300061. The reversal of 10222300011 is 11000322201.

10222300011 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10222300011 - 22 = 10222300007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222300011.

It is not an unprimeable number, because it can be changed into a prime (10222300061) 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 63 ways as a sum of consecutive naturals, for example, 2746810 + ... + 2750528.

It is an arithmetic number, because the mean of its divisors is an integer number (270875520).

Almost surely, 210222300011 is an apocalyptic number.

10222300011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222300011 is a deficient number, since it is larger than the sum of its proper divisors (7113733269).

10222300011 is a wasteful number, since it uses less digits than its factorization.

10222300011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10222300011 its reverse (11000322201), we get a palindrome (21222622212).

The spelling of 10222300011 in words is "ten billion, two hundred twenty-two million, three hundred thousand, eleven".

Divisors: 1 3 7 11 21 33 73 77 163 219 231 489 511 803 1141 1533 1793 2409 3423 3719 5379 5621 11157 11899 12551 16863 26033 35697 37653 40909 78099 83293 122727 130889 249879 271487 286363 392667 606197 814461 859089 916223 1818591 1900409 2748669 2986357 4243379 5701227 6668167 8959071 12730137 20004501 20904499 44252381 46677169 62713497 132757143 140031507 309766667 486776191 929300001 1460328573 3407433337 10222300011