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1122022100 = 225217660013
BaseRepresentation
bin100001011100000…
…1011001011010100
32220012021121222002
41002320023023110
54244214201400
6303200454432
736543013313
oct10270131324
92805247862
101122022100
115263968a1
1227391a418
1314b5c1604
14a903227a
1568785ed5
hex42e0b2d4

1122022100 has 36 divisors (see below), whose sum is σ = 2578014684. Its totient is φ = 422407680.

The previous prime is 1122022081. The next prime is 1122022163. The reversal of 1122022100 is 12202211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9265936 + 1112756164 = 3044^2 + 33358^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 328307 + ... + 331706.

It is an arithmetic number, because the mean of its divisors is an integer number (71611519).

Almost surely, 21122022100 is an apocalyptic number.

1122022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122022100 is an abundant number, since it is smaller than the sum of its proper divisors (1455992584).

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

1122022100 is a wasteful number, since it uses less digits than its factorization.

1122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660044 (or 660037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1122022100 is about 33496.5983347563. The cubic root of 1122022100 is about 1039.1234292837.

Adding to 1122022100 its reverse (12202211), we get a palindrome (1134224311).

The spelling of 1122022100 in words is "one billion, one hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 660013 1320026 2640052 3300065 6600130 11220221 13200260 16500325 22440442 33000650 44880884 56101105 66001300 112202210 224404420 280505525 561011050 1122022100