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112200002211 = 311431012513119
BaseRepresentation
bin110100001111110100…
…1000010101010100011
3101201121102002200001110
41220133221002222203
53314241200032321
6123313255234403
711051264166033
oct1503751025243
9351542080043
10112200002211
1143646a81360
12198b3678a03
13a77122c56b
1456054618c3
152dba315176
hex1a1fa42aa3

112200002211 has 64 divisors (see below), whose sum is σ = 169374965760. Its totient is φ = 65478000000.

The previous prime is 112200002209. The next prime is 112200002251.

112200002211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112200002211 - 21 = 112200002209 is a prime.

It is a super-2 number, since 2×1122000022112 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (112200002251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35971510 + ... + 35974628.

It is an arithmetic number, because the mean of its divisors is an integer number (2646483840).

Almost surely, 2112200002211 is an apocalyptic number.

112200002211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112200002211 is a deficient number, since it is larger than the sum of its proper divisors (57174963549).

112200002211 is a wasteful number, since it uses less digits than its factorization.

112200002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 11220000 and 2211, that added together give a palindrome (11222211).

The spelling of 112200002211 in words is "one hundred twelve billion, two hundred million, two thousand, two hundred eleven".

Divisors: 1 3 11 33 43 101 129 251 303 473 753 1111 1419 2761 3119 3333 4343 8283 9357 10793 13029 25351 32379 34309 47773 76053 102927 118723 134117 143319 278861 315019 356169 402351 782869 836583 945057 1090093 1475287 2348607 3270279 3465209 4425861 8611559 10395627 11991023 13545817 25834677 33663367 35973069 40637451 79069769 100990101 149003987 237209307 370297037 447011961 869767459 1110891111 2609302377 3400000067 10200000201 37400000737 112200002211