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1121100000 = 2535537101
BaseRepresentation
bin100001011010010…
…1010000011100000
32220010112210002020
41002310222003200
54244000200000
6303125021440
736532123056
oct10264520340
92803483066
101121100000
11525917029
12273554880
1314b35a9a7
14a8c721d6
1568652ba0
hex42d2a0e0

1121100000 has 288 divisors, whose sum is σ = 3815193312. Its totient is φ = 288000000.

The previous prime is 1121099983. The next prime is 1121100083. The reversal of 1121100000 is 11211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11099950 + ... + 11100050.

It is an arithmetic number, because the mean of its divisors is an integer number (13247199).

Almost surely, 21121100000 is an apocalyptic number.

1121100000 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 1121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907596656).

1121100000 is an abundant number, since it is smaller than the sum of its proper divisors (2694093312).

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

1121100000 is an equidigital number, since it uses as much as digits as its factorization.

1121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1121100000 is about 33482.8314214912. The cubic root of 1121100000 is about 1038.8386938592.

Adding to 1121100000 its reverse (11211), we get a palindrome (1121111211).

1121100000 divided by its reverse (11211) gives a 5-th power (100000 = 105).

The spelling of 1121100000 in words is "one billion, one hundred twenty-one million, one hundred thousand".