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11012210000 = 245411219479
BaseRepresentation
bin10100100000110000…
…01111110101010000
31001102110102020012122
422100120033311100
5140023111210000
65020421513412
7536615145341
oct122030176520
931373366178
1011012210000
114741118400
122173b72868
1310666110bc
1476676c0c8
15446ba2085
hex29060fd50

11012210000 has 300 divisors, whose sum is σ = 30912604800. Its totient is φ = 3785760000.

The previous prime is 11012209987. The next prime is 11012210021. The reversal of 11012210000 is 1221011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11012210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22989761 + ... + 22990239.

It is an arithmetic number, because the mean of its divisors is an integer number (103042016).

Almost surely, 211012210000 is an apocalyptic number.

11012210000 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 11012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456302400).

11012210000 is an abundant number, since it is smaller than the sum of its proper divisors (19900394800).

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

11012210000 is a wasteful number, since it uses less digits than its factorization.

11012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11012210000 its reverse (1221011), we get a palindrome (11013431011).

The spelling of 11012210000 in words is "eleven billion, twelve million, two hundred ten thousand".