Search a number
-
+
1101122033000 = 2353112310939929
BaseRepresentation
bin10000000001011111111…
…111001101010101101000
310220021012002100221122112
4100001133333031111220
5121020044220024000
62201503134341452
7142360554564533
oct20013777152550
93807162327575
101101122033000
11394a8a754aa0
121594a365a888
137cab23a1822
143b41a4dda1a
151d99923a235
hex1005ffcd568

1101122033000 has 256 divisors, whose sum is σ = 2960058816000. Its totient is φ = 379475712000.

The previous prime is 1101122032979. The next prime is 1101122033041. The reversal of 1101122033000 is 3302211011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27557036 + ... + 27596964.

It is an arithmetic number, because the mean of its divisors is an integer number (11562729750).

Almost surely, 21101122033000 is an apocalyptic number.

1101122033000 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 1101122033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480029408000).

1101122033000 is an abundant number, since it is smaller than the sum of its proper divisors (1858936783000).

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

1101122033000 is a wasteful number, since it uses less digits than its factorization.

1101122033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40093 (or 40079 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1101122033000 its reverse (3302211011), we get a palindrome (1104424244011).

The spelling of 1101122033000 in words is "one trillion, one hundred one billion, one hundred twenty-two million, thirty-three thousand".