Search a number
-
+
10020001111200 = 2532521607866003
BaseRepresentation
bin1001000111001111011010…
…0110110101110010100000
31022110220101002211222100200
42101303312212311302200
52303131430241024300
633151042554145200
72052630653106663
oct221636646656240
938426332758320
1010020001111200
113213505451993
121159b3a122200
13578b60b31b72
14268d836236da
1512599ad2d200
hex91cf69b5ca0

10020001111200 has 216 divisors, whose sum is σ = 35355056694048. Its totient is φ = 2670334487040.

The previous prime is 10020001111171. The next prime is 10020001111217. The reversal of 10020001111200 is 211110002001.

It is a happy number.

10020001111200 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11137399 + ... + 12003401.

It is an arithmetic number, because the mean of its divisors is an integer number (163680818028).

Almost surely, 210020001111200 is an apocalyptic number.

10020001111200 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 10020001111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677528347024).

10020001111200 is an abundant number, since it is smaller than the sum of its proper divisors (25335055582848).

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

10020001111200 is a wasteful number, since it uses less digits than its factorization.

10020001111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867636 (or 867620 counting only the distinct ones).

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

Adding to 10020001111200 its reverse (211110002001), we get a palindrome (10231111113201).

The spelling of 10020001111200 in words is "ten trillion, twenty billion, one million, one hundred eleven thousand, two hundred".