Search a number
-
+
103002332310000 = 2432543113679969
BaseRepresentation
bin10111011010111000011001…
…011011011010100111110000
3111111200221000122020102120200
4113122320121123122213300
5102000042234032410000
61003022341311435200
730460446546540054
oct2732703133324760
9444627018212520
10103002332310000
112a902053361982
12b676660825b00
134562102c21526
141b614a7787c64
15bd94d8b68500
hex5dae196da9f0

103002332310000 has 300 divisors, whose sum is σ = 361372376885520. Its totient is φ = 27378961920000.

The previous prime is 103002332309999. The next prime is 103002332310029. The reversal of 103002332310000 is 13233200301.

103002332310000 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 332 + 31 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×1030023323100003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26150016 + ... + 29829984.

Almost surely, 2103002332310000 is an apocalyptic number.

103002332310000 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 103002332310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180686188442760).

103002332310000 is an abundant number, since it is smaller than the sum of its proper divisors (258370044575520).

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

103002332310000 is a wasteful number, since it uses less digits than its factorization.

103002332310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680314 (or 3680290 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103002332310000 its reverse (13233200301), we get a palindrome (103015565510301).

The spelling of 103002332310000 in words is "one hundred three trillion, two billion, three hundred thirty-two million, three hundred ten thousand".