Search a number
-
+
100001332211 = 113432337499
BaseRepresentation
bin101110100100010001…
…0110011101111110011
3100120010021011000200212
41131020202303233303
53114300320112321
6113535011334335
710140061204334
oct1351042635763
9316107130625
10100001332211
1139457166000
121746a2b13ab
139578b87c31
144ba92ca28b
1529043ee55b
hex17488b3bf3

100001332211 has 32 divisors (see below), whose sum is σ = 113050080000. Its totient is φ = 88403219520.

The previous prime is 100001332129. The next prime is 100001332213. The reversal of 100001332211 is 112233100001.

It is not a de Polignac number, because 100001332211 - 210 = 100001331187 is a prime.

It is a super-2 number, since 2×1000013322112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100001332213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13331540 + ... + 13339038.

It is an arithmetic number, because the mean of its divisors is an integer number (3532815000).

Almost surely, 2100001332211 is an apocalyptic number.

100001332211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001332211 is a deficient number, since it is larger than the sum of its proper divisors (13048747789).

100001332211 is an equidigital number, since it uses as much as digits as its factorization.

100001332211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7786 counting only the distinct ones).

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

Adding to 100001332211 its reverse (112233100001), we get a palindrome (212234432212).

The spelling of 100001332211 in words is "one hundred billion, one million, three hundred thirty-two thousand, two hundred eleven".

Divisors: 1 11 43 121 233 473 1331 2563 5203 7499 10019 28193 57233 82489 110209 310123 322457 907379 1212299 1747267 3547027 9981169 13335289 19219937 39017297 75132481 211419307 429190267 826457291 2325612377 9091030201 100001332211