Search a number
-
+
12112101001 = 7111323526087
BaseRepresentation
bin10110100011110111…
…11111111010001001
31011021010001111000101
423101323333322021
5144301144213001
65321512205401
7606102105550
oct132173777211
934233044011
1012112101001
115155a68830
122420399861
1311b0454290
1482c87cd97
154ad515a01
hex2d1effe89

12112101001 has 32 divisors (see below), whose sum is σ = 16969494528. Its totient is φ = 8333202240.

The previous prime is 12112100999. The next prime is 12112101031. The reversal of 12112101001 is 10010121121.

It is not a de Polignac number, because 12112101001 - 21 = 12112100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112101031) 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, 240021 + ... + 286066.

It is an arithmetic number, because the mean of its divisors is an integer number (530296704).

Almost surely, 212112101001 is an apocalyptic number.

12112101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112101001 is a deficient number, since it is larger than the sum of its proper divisors (4857393527).

12112101001 is a wasteful number, since it uses less digits than its factorization.

12112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526141.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12112101001 its reverse (10010121121), we get a palindrome (22122222122).

The spelling of 12112101001 in words is "twelve billion, one hundred twelve million, one hundred one thousand, one".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 23023 526087 3682609 5786957 6839131 12100001 40508699 47873917 75230441 84700007 133100011 157300013 526613087 931700077 1101100091 1730300143 12112101001