Search a number
-
+
10221770691 = 3211493120939
BaseRepresentation
bin10011000010100001…
…11101011111000011
3222101101001202022200
421201100331133003
5131413233130231
64410144004243
7511206421506
oct114120753703
928341052280
1010221770691
114375a17680
121b93300683
13c6b927b32
146cd7b113d
153ec5b7be6
hex26143d7c3

10221770691 has 24 divisors (see below), whose sum is σ = 16111068480. Its totient is φ = 6193460400.

The previous prime is 10221770687. The next prime is 10221770711. The reversal of 10221770691 is 19607712201.

It is a happy number.

10221770691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221770691 - 22 = 10221770687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221771691) 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, 477700 + ... + 498638.

It is an arithmetic number, because the mean of its divisors is an integer number (671294520).

Almost surely, 210221770691 is an apocalyptic number.

10221770691 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221770691 is a deficient number, since it is larger than the sum of its proper divisors (5889297789).

10221770691 is a wasteful number, since it uses less digits than its factorization.

10221770691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25887 (or 25884 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10221770691 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, six hundred ninety-one".

Divisors: 1 3 9 11 33 99 4931 14793 20939 44379 54241 62817 162723 188451 230329 488169 690987 2072961 103250209 309750627 929251881 1135752299 3407256897 10221770691