Search a number
-
+
100010011211 = 11237911344281
BaseRepresentation
bin101110100100100001…
…1111010101001001011
3100120010212110222001022
41131021003322221023
53114310030324321
6113535521343055
710140225032465
oct1351103725113
9316125428038
10100010011211
1139461053730
1217471197a8b
13957a906436
144baa509135
152905065dab
hex17490faa4b

100010011211 has 32 divisors (see below), whose sum is σ = 116309329920. Its totient is φ = 85102617600.

The previous prime is 100010011207. The next prime is 100010011217. The reversal of 100010011211 is 112110010001.

It is a happy number.

It is not a de Polignac number, because 100010011211 - 22 = 100010011207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010011217) 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 31 ways as a sum of consecutive naturals, for example, 2236391 + ... + 2280671.

It is an arithmetic number, because the mean of its divisors is an integer number (3634666560).

Almost surely, 2100010011211 is an apocalyptic number.

100010011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010011211 is a deficient number, since it is larger than the sum of its proper divisors (16299318709).

100010011211 is a wasteful number, since it uses less digits than its factorization.

100010011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44507.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010011211 its reverse (112110010001), we get a palindrome (212120021212).

The spelling of 100010011211 in words is "one hundred billion, ten million, eleven thousand, two hundred eleven".

Divisors: 1 11 23 79 113 253 869 1243 1817 2599 8927 19987 28589 44281 98197 205321 487091 1018463 2258531 3498199 5003753 11203093 38480189 55041283 80458577 115086319 395296487 885044347 1265949509 4348261357 9091819201 100010011211