Search a number
-
+
2201133011 = 71141739551
BaseRepresentation
bin1000001100110010…
…1001111111010011
312200101211010211212
42003030221333103
514001442224021
61002225530335
7105355215260
oct20314517723
95611733755
102201133011
11a2a5338a0
125151a39ab
1329103a28c
1416c494267
15cd39285b
hex83329fd3

2201133011 has 32 divisors (see below), whose sum is σ = 2850011136. Its totient is φ = 1650240000.

The previous prime is 2201133007. The next prime is 2201133013. The reversal of 2201133011 is 1103311022.

It is a cyclic number.

It is not a de Polignac number, because 2201133011 - 22 = 2201133007 is a prime.

It is a super-2 number, since 2×22011330112 = 9689973064227852242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2201133013) 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 31 ways as a sum of consecutive naturals, for example, 225686 + ... + 235236.

It is an arithmetic number, because the mean of its divisors is an integer number (89062848).

Almost surely, 22201133011 is an apocalyptic number.

2201133011 is a deficient number, since it is larger than the sum of its proper divisors (648878125).

2201133011 is a wasteful number, since it uses less digits than its factorization.

2201133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2201133011 is about 46916.2339814269. The cubic root of 2201133011 is about 1300.8146788999.

Adding to 2201133011 its reverse (1103311022), we get a palindrome (3304444033).

The spelling of 2201133011 in words is "two billion, two hundred one million, one hundred thirty-three thousand, eleven".

Divisors: 1 7 11 41 73 77 287 451 511 803 2993 3157 5621 9551 20951 32923 66857 105061 230461 391591 697223 735427 2741137 4307501 4880561 7669453 28586143 30152507 53686171 200103001 314447573 2201133011