Search a number
-
+
1321200114432 = 283111931512
BaseRepresentation
bin10011001110011101101…
…010011101101100000000
311200022020201002211222120
4103032131222131230000
5133121304212130212
62450541223404240
7164311366451232
oct23163552355400
94608221084876
101321200114432
1146a355025a20
121940832b3680
1397786306653
1447d36dd0252
152457a20088c
hex1339da9db00

1321200114432 has 432 divisors, whose sum is σ = 4076056172160. Its totient is φ = 376780032000.

The previous prime is 1321200114419. The next prime is 1321200114457. The reversal of 1321200114432 is 2344110021231.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8749669557 + ... + 8749669707.

Almost surely, 21321200114432 is an apocalyptic number.

1321200114432 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 1321200114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038028086080).

1321200114432 is an abundant number, since it is smaller than the sum of its proper divisors (2754856057728).

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

1321200114432 is an frugal number, since it uses more digits than its factorization.

1321200114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1321200114432 its reverse (2344110021231), we get a palindrome (3665310135663).

The spelling of 1321200114432 in words is "one trillion, three hundred twenty-one billion, two hundred million, one hundred fourteen thousand, four hundred thirty-two".