Search a number
-
+
1201003003200 = 2635271113435813
BaseRepresentation
bin10001011110100001010…
…110110111110101000000
311020210222222000221201010
4101132201112313311000
5124134123232100300
62315422210240520
7152524655042430
oct21364126676500
94223888027633
101201003003200
11423384981260
12174919586140
138933c336b20
14421b38182c0
1521392cb1a50
hex117a15b7d40

1201003003200 has 1344 divisors, whose sum is σ = 5414425454592. Its totient is φ = 224966246400.

The previous prime is 1201003003153. The next prime is 1201003003259. The reversal of 1201003003200 is 23003001021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206603494 + ... + 206609306.

It is an arithmetic number, because the mean of its divisors is an integer number (4028590368).

Almost surely, 21201003003200 is an apocalyptic number.

1201003003200 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 1201003003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707212727296).

1201003003200 is an abundant number, since it is smaller than the sum of its proper divisors (4213422451392).

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

1201003003200 is a wasteful number, since it uses less digits than its factorization.

1201003003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1201003003200 its reverse (23003001021), we get a palindrome (1224006004221).

The spelling of 1201003003200 in words is "one trillion, two hundred one billion, three million, three thousand, two hundred".