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112312101213211 = 23101139213473017
BaseRepresentation
bin11001100010010110110010…
…111001011001010000011011
3112201122221011102212222121011
4121202112302321121100123
5104210110140402310321
61034511244512554351
732441165365541254
oct3142266271312033
9481587142788534
10112312101213211
1132871327189929
121071aa075529b7
134a88ca7775a03
141da3d12b79b2b
15ceb767463ae1
hex6625b2e5941b

112312101213211 has 16 divisors (see below), whose sum is σ = 118364120947008. Its totient is φ = 106357641984000.

The previous prime is 112312101213209. The next prime is 112312101213341.

112312101213211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 112312101213211 - 21 = 112312101213209 is a prime.

It is a super-2 number, since 2×1123121012132112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112312101213511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30601975 + ... + 34074991.

It is an arithmetic number, because the mean of its divisors is an integer number (7397757559188).

Almost surely, 2112312101213211 is an apocalyptic number.

112312101213211 is a deficient number, since it is larger than the sum of its proper divisors (6052019733797).

112312101213211 is a wasteful number, since it uses less digits than its factorization.

112312101213211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487062.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 11231210 and 1213211, that added together give a palindrome (12444421).

The spelling of 112312101213211 in words is "one hundred twelve trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, two hundred eleven".

Divisors: 1 23 101 2323 13921 320183 1406021 3473017 32338483 79879391 350774717 8067818491 48347869657 1112001002111 4883134835357 112312101213211