Search a number
-
+
103322132202000 = 24353197312415541
BaseRepresentation
bin10111011111100010001110…
…111111001100001000010000
3111112211111111001011012000010
4113133202032333030020100
5102020312211320431000
61003425310545154520
730522530520012165
oct2737421677141020
9445744431135003
10103322132202000
112aa15741031088
12b70863102ba40
134586309b3355a
141b72b643a206c
15be29a4716d50
hex5df88efcc210

103322132202000 has 320 divisors, whose sum is σ = 355446041783040. Its totient is φ = 25744863744000.

The previous prime is 103322132201941. The next prime is 103322132202049. The reversal of 103322132202000 is 202231223301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2114230 + ... + 14529770.

It is an arithmetic number, because the mean of its divisors is an integer number (1110768880572).

Almost surely, 2103322132202000 is an apocalyptic number.

103322132202000 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 103322132202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723020891520).

103322132202000 is an abundant number, since it is smaller than the sum of its proper divisors (252123909581040).

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

103322132202000 is a wasteful number, since it uses less digits than its factorization.

103322132202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12415659 (or 12415643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103322132202000 its reverse (202231223301), we get a palindrome (103524363425301).

The spelling of 103322132202000 in words is "one hundred three trillion, three hundred twenty-two billion, one hundred thirty-two million, two hundred two thousand".