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1123222200100 = 225271121319531013
BaseRepresentation
bin10000010110000101010…
…000101001111100100100
310222101020021201202112221
4100112011100221330210
5121400324340400400
62220000125522124
7144102331112560
oct20260520517444
93871207652487
101123222200100
113a33a0716700
12161830a13344
1381bc4bc5390
143c5156b66a0
151e33e552c1a
hex10585429f24

1123222200100 has 864 divisors, whose sum is σ = 3539900931840. Its totient is φ = 300083097600.

The previous prime is 1123222200049. The next prime is 1123222200137. The reversal of 1123222200100 is 10022223211.

It is a happy number.

It is a super-2 number, since 2×11232222001002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1108807194 + ... + 1108808206.

It is an arithmetic number, because the mean of its divisors is an integer number (4097107560).

Almost surely, 21123222200100 is an apocalyptic number.

1123222200100 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 1123222200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769950465920).

1123222200100 is an abundant number, since it is smaller than the sum of its proper divisors (2416678731740).

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

1123222200100 is a wasteful number, since it uses less digits than its factorization.

1123222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1123222200100 its reverse (10022223211), we get a palindrome (1133244423311).

The spelling of 1123222200100 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred thousand, one hundred".