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1122001122 = 2311171019901
BaseRepresentation
bin100001011100000…
…0110000011100010
32220012020120012010
41002320012003202
54244213013442
6303200213350
736542565204
oct10270060342
92805216163
101122001122
11526382060
1227390a256
1314b5b4bb8
14a9028774
156877eb9c
hex42e060e2

1122001122 has 64 divisors (see below), whose sum is σ = 2617930368. Its totient is φ = 316800000.

The previous prime is 1122001117. The next prime is 1122001183. The reversal of 1122001122 is 2211002211.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1122001098 and 1122001107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108372 + ... + 118272.

It is an arithmetic number, because the mean of its divisors is an integer number (40905162).

Almost surely, 21122001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308965184).

1122001122 is an abundant number, since it is smaller than the sum of its proper divisors (1495929246).

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

1122001122 is a wasteful number, since it uses less digits than its factorization.

1122001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035.

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

The square root of 1122001122 is about 33496.2851970185. The cubic root of 1122001122 is about 1039.1169532178.

Adding to 1122001122 its reverse (2211002211), we get a palindrome (3333003333).

It can be divided in two parts, 112200 and 1122, that multiplied together give a square (125888400 = 112202).

The spelling of 1122001122 in words is "one billion, one hundred twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1111 1122 1717 2222 3333 3434 5151 6666 9901 10302 18887 19802 29703 37774 56661 59406 108911 113322 168317 217822 326733 336634 504951 653466 1000001 1009902 1851487 2000002 3000003 3702974 5554461 6000006 11000011 11108922 17000017 22000022 33000033 34000034 51000051 66000066 102000102 187000187 374000374 561000561 1122001122