Search a number
-
+
10221100011 = 3247138117497
BaseRepresentation
bin10011000010011100…
…11001101111101011
3222101022210200022200
421201032121233223
5131413100200021
64410121351243
7511200626253
oct114116315753
928338720280
1010221100011
1143755a97a1
121b93038523
13c6b751795
146cd678963
153ec4d4126
hex261399beb

10221100011 has 24 divisors (see below), whose sum is σ = 15089715264. Its totient is φ = 6663876480.

The previous prime is 10221099991. The next prime is 10221100013. The reversal of 10221100011 is 11000112201.

It is a happy number.

It is not a de Polignac number, because 10221100011 - 27 = 10221099883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10221099966 and 10221100002.

It is not an unprimeable number, because it can be changed into a prime (10221100013) 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 23 ways as a sum of consecutive naturals, for example, 575415 + ... + 592911.

It is an arithmetic number, because the mean of its divisors is an integer number (628738136).

Almost surely, 210221100011 is an apocalyptic number.

10221100011 is a deficient number, since it is larger than the sum of its proper divisors (4868615253).

10221100011 is a wasteful number, since it uses less digits than its factorization.

10221100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18931 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10221100011 its reverse (11000112201), we get a palindrome (21221212212).

The spelling of 10221100011 in words is "ten billion, two hundred twenty-one million, one hundred thousand, eleven".

Divisors: 1 3 9 47 141 423 1381 4143 12429 17497 52491 64907 157473 194721 584163 822359 2467077 7401231 24163357 72490071 217470213 1135677779 3407033337 10221100011