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11222201012100 = 223521317473601361
BaseRepresentation
bin1010001101001101111101…
…0011100000111110000100
31110201211110111001122001020
42203103133103200332010
52432331031424341400
635511224042231140
72235530413500201
oct243233723407604
943654414048036
1011222201012100
113637343a000a1
121312b304b54b0
13635331115080
142ab22bda0ca8
15146dadc162a0
hexa34df4e0f84

11222201012100 has 288 divisors, whose sum is σ = 37811880884736. Its totient is φ = 2544576921600.

The previous prime is 11222201012027. The next prime is 11222201012107. The reversal of 11222201012100 is 121010222211.

11222201012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222201012100.

It is not an unprimeable number, because it can be changed into a prime (11222201012107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1315420 + ... + 4916780.

It is an arithmetic number, because the mean of its divisors is an integer number (131291253072).

Almost surely, 211222201012100 is an apocalyptic number.

11222201012100 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 11222201012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905940442368).

11222201012100 is an abundant number, since it is smaller than the sum of its proper divisors (26589679872636).

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

11222201012100 is a wasteful number, since it uses less digits than its factorization.

11222201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601455 (or 3601448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222201012100 its reverse (121010222211), we get a palindrome (11343211234311).

The spelling of 11222201012100 in words is "eleven trillion, two hundred twenty-two billion, two hundred one million, twelve thousand, one hundred".