Search a number
-
+
1110012001200 = 2433521718773221
BaseRepresentation
bin10000001001110001110…
…111101111101110110000
310221010010122102010102000
4100021301313233232300
5121141301033014300
62205533225254000
7143124063222264
oct20116167575660
93833118363360
101110012001200
11398831922753
1215b164934300
138089b10813b
143ba210720a4
151dd1992ec00
hex10271defbb0

1110012001200 has 480 divisors, whose sum is σ = 4186749798720. Its totient is φ = 278356377600.

The previous prime is 1110012001171. The next prime is 1110012001223. The reversal of 1110012001200 is 21002100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344615590 + ... + 344618810.

It is an arithmetic number, because the mean of its divisors is an integer number (8722395414).

Almost surely, 21110012001200 is an apocalyptic number.

1110012001200 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 1110012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093374899360).

1110012001200 is an abundant number, since it is smaller than the sum of its proper divisors (3076737797520).

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

1110012001200 is a wasteful number, since it uses less digits than its factorization.

1110012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110012001200 its reverse (21002100111), we get a palindrome (1131014101311).

The spelling of 1110012001200 in words is "one trillion, one hundred ten billion, twelve million, one thousand, two hundred".