Search a number
-
+
1201103003200 = 265241139157839
BaseRepresentation
bin10001011110100111010…
…100010101111001000000
311020211020221012110220211
4101132213110111321000
5124134324332100300
62315440141443504
7152530311034552
oct21364724257100
94224227173824
101201103003200
11423426372791
12174946b70594
1389356c7a619
14421c2c094d2
152139b9664ba
hex117a7515e40

1201103003200 has 336 divisors, whose sum is σ = 3072409603200. Its totient is φ = 461835878400.

The previous prime is 1201103003153. The next prime is 1201103003201. The reversal of 1201103003200 is 23003011021.

It is not an unprimeable number, because it can be changed into a prime (1201103003201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1431588381 + ... + 1431589219.

It is an arithmetic number, because the mean of its divisors is an integer number (9144076200).

Almost surely, 21201103003200 is an apocalyptic number.

1201103003200 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 1201103003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536204801600).

1201103003200 is an abundant number, since it is smaller than the sum of its proper divisors (1871306600000).

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

1201103003200 is a wasteful number, since it uses less digits than its factorization.

1201103003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1201103003200 its reverse (23003011021), we get a palindrome (1224106014221).

The spelling of 1201103003200 in words is "one trillion, two hundred one billion, one hundred three million, three thousand, two hundred".