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1100122002200 = 2352132321298641
BaseRepresentation
bin10000000000100100011…
…000011001001100011000
310220011121101122010021202
4100000210120121030120
5121011022213032300
62201220012253332
7142324022505044
oct20004430311430
93804541563252
101100122002200
11394617210061
12159264771248
137c983153620
143b363785024
151d93b54ead5
hex10024619318

1100122002200 has 192 divisors, whose sum is σ = 2875981550400. Its totient is φ = 388310630400.

The previous prime is 1100122002191. The next prime is 1100122002241. The reversal of 1100122002200 is 22002210011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127309880 + ... + 127318520.

It is an arithmetic number, because the mean of its divisors is an integer number (14979070575).

Almost surely, 21100122002200 is an apocalyptic number.

1100122002200 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 1100122002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437990775200).

1100122002200 is an abundant number, since it is smaller than the sum of its proper divisors (1775859548200).

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

1100122002200 is a wasteful number, since it uses less digits than its factorization.

1100122002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1100122002200 its reverse (22002210011), we get a palindrome (1122124212211).

The spelling of 1100122002200 in words is "one trillion, one hundred billion, one hundred twenty-two million, two thousand, two hundred".