Search a number
-
+
1320200003232 = 253511127121531
BaseRepresentation
bin10011001101100010000…
…011010101111010100000
311200012200000012221100000
4103031202003111322200
5133112232200100412
62450254055500000
7164244533605155
oct23154203257240
94605600187300
101320200003232
11469991536640
12193a44387600
139765705a986
1447c8025422c
152451c4eb4dc
hex133620d5ea0

1320200003232 has 288 divisors, whose sum is σ = 4280788721664. Its totient is φ = 396907257600.

The previous prime is 1320200003231. The next prime is 1320200003267. The reversal of 1320200003232 is 2323000020231.

It is a happy number.

1320200003232 is a `hidden beast` number, since 1 + 320 + 20 + 0 + 0 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1320200003231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10802307 + ... + 10923837.

It is an arithmetic number, because the mean of its divisors is an integer number (14863849728).

Almost surely, 21320200003232 is an apocalyptic number.

1320200003232 is a gapful number since it is divisible by the number (12) 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 1320200003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140394360832).

1320200003232 is an abundant number, since it is smaller than the sum of its proper divisors (2960588718432).

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

1320200003232 is a wasteful number, since it uses less digits than its factorization.

1320200003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121694 (or 121674 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1320200003232 its reverse (2323000020231), we get a palindrome (3643200023463).

The spelling of 1320200003232 in words is "one trillion, three hundred twenty billion, two hundred million, three thousand, two hundred thirty-two".