Search a number
-
+
103303012332000 = 2535313273369493
BaseRepresentation
bin10111011111010000011011…
…010110101011000111100000
3111112202200010112202011010210
4113133100123112223013200
5102020004032124111000
61003412425420054120
730521252642546025
oct2737203326530740
9445680115664123
10103303012332000
112aa0861a3a2828
12b704995994340
1345845808b6100
141b71c6cd4354c
15be2235da0350
hex5df41b5ab1e0

103303012332000 has 576 divisors, whose sum is σ = 366960736449216. Its totient is φ = 25393377484800.

The previous prime is 103303012331983. The next prime is 103303012332011. The reversal of 103303012332000 is 233210303301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1486489254 + ... + 1486558746.

It is an arithmetic number, because the mean of its divisors is an integer number (637084611891).

Almost surely, 2103303012332000 is an apocalyptic number.

103303012332000 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 103303012332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183480368224608).

103303012332000 is an abundant number, since it is smaller than the sum of its proper divisors (263657724117216).

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

103303012332000 is a wasteful number, since it uses less digits than its factorization.

103303012332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70280 (or 70249 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103303012332000 its reverse (233210303301), we get a palindrome (103536222635301).

The spelling of 103303012332000 in words is "one hundred three trillion, three hundred three billion, twelve million, three hundred thirty-two thousand".