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112212010011211 = 11291012225115319
BaseRepresentation
bin11001100000111001100100…
…111111110000101001001011
3112201022100210220122002201121
4121200321210333300221023
5104201440144030324321
61034353252531100111
732431023133422565
oct3140714477605113
9481270726562647
10112212010011211
1132832934321380
1210703533141637
134a7c7160b31b6
141d9d139978335
15ce8d5a211441
hex660e64ff0a4b

112212010011211 has 48 divisors (see below), whose sum is σ = 127965633811200. Its totient is φ = 97468434000000.

The previous prime is 112212010011203. The next prime is 112212010011217. The reversal of 112212010011211 is 112110010212211.

It is not a de Polignac number, because 112212010011211 - 23 = 112212010011203 is a prime.

It is a super-2 number, since 2×1122120100112112 (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 (112212010011217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7325014210 + ... + 7325029528.

It is an arithmetic number, because the mean of its divisors is an integer number (2665950704400).

Almost surely, 2112212010011211 is an apocalyptic number.

112212010011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112212010011211 is a deficient number, since it is larger than the sum of its proper divisors (15753623799989).

112212010011211 is a wasteful number, since it uses less digits than its factorization.

112212010011211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17812 (or 17711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112212010011211 its reverse (112110010212211), we get a palindrome (224322020223422).

The spelling of 112212010011211 in words is "one hundred twelve trillion, two hundred twelve billion, ten million, eleven thousand, two hundred eleven".

Divisors: 1 11 29 101 319 1111 2251 2929 10201 15319 24761 32219 65279 112211 168509 227351 295829 444251 718069 1547219 2500861 3254119 4886761 6593179 17019409 22962451 34483069 44869351 72524969 156269119 252586961 379313759 493562861 665911079 1000009001 1718960309 3482789969 4531804451 7325021869 11000099011 38310689659 49849848961 101000909101 351761786869 1111010000111 3869379655559 10201091819201 112212010011211