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1122010000 = 2454295373
BaseRepresentation
bin100001011100000…
…1000001110010000
32220012021000100221
41002320020032100
54244213310000
6303200322424
736542633116
oct10270101620
92805230327
101122010000
115263887a1
12273913414
1314b5b8c57
14a902bab6
156878261a
hex42e08390

1122010000 has 200 divisors, whose sum is σ = 2902414680. Its totient is φ = 419328000.

The previous prime is 1122009953. The next prime is 1122010009. The reversal of 1122010000 is 102211.

It can be written as a sum of positive squares in 20 ways, for example, as 1042514944 + 79495056 = 32288^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15369964 + ... + 15370036.

Almost surely, 21122010000 is an apocalyptic number.

1122010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451207340).

1122010000 is an abundant number, since it is smaller than the sum of its proper divisors (1780404680).

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

1122010000 is an equidigital number, since it uses as much as digits as its factorization.

1122010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1122010000 is about 33496.4177189144. The cubic root of 1122010000 is about 1039.1196939328.

Adding to 1122010000 its reverse (102211), we get a palindrome (1122112211).

The spelling of 1122010000 in words is "one billion, one hundred twenty-two million, ten thousand".