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2211001122 = 2311299711909
BaseRepresentation
bin1000001111001001…
…0011001100100010
312201002101111100110
42003302103030202
514012004013442
61003221232150
7105535125261
oct20362231442
95632344313
102211001122
11a35063960
12518562656
132930b3ab5
1416d9025d8
15ce19169c
hex83c93322

2211001122 has 64 divisors (see below), whose sum is σ = 5042217600. Its totient is φ = 640174080.

The previous prime is 2211001103. The next prime is 2211001129.

2211001122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22110011222 = 9777051922970517768, which contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2211001098 and 2211001107.

It is not an unprimeable number, because it can be changed into a prime (2211001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179704 + ... + 191612.

It is an arithmetic number, because the mean of its divisors is an integer number (78784650).

Almost surely, 22211001122 is an apocalyptic number.

2211001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521108800).

2211001122 is an abundant number, since it is smaller than the sum of its proper divisors (2831216478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211001122 is a wasteful number, since it uses less digits than its factorization.

2211001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12051.

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

The square root of 2211001122 is about 47021.2837128039. The cubic root of 2211001122 is about 1302.7557168774.

It can be divided in two parts, 221100 and 1122, that added together give a palindrome (222222).

The spelling of 2211001122 in words is "two billion, two hundred eleven million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 97 174 194 291 319 582 638 957 1067 1914 2134 2813 3201 5626 6402 8439 11909 16878 23818 30943 35727 61886 71454 92829 130999 185658 261998 345361 392997 690722 785994 1036083 1155173 2072166 2310346 3465519 3798971 6931038 7597942 11396913 12706903 22793826 25413806 33500017 38120709 67000034 76241418 100500051 201000102 368500187 737000374 1105500561 2211001122