Search a number
-
+
13303032330 = 23572353157331
BaseRepresentation
bin11000110001110110…
…00010101000001010
31021100010000001200010
430120323002220022
5204221034013310
610040014052350
7650442623550
oct143073025012
937303001603
1013303032330
1157072400a5
1226b31aa0b6
1313400c1a83
14902acbbd0
1552cd5e320
hex318ec2a0a

13303032330 has 256 divisors, whose sum is σ = 39158194176. Its totient is φ = 2826869760.

The previous prime is 13303032329. The next prime is 13303032331. The reversal of 13303032330 is 3323030331.

It is an interprime number because it is at equal distance from previous prime (13303032329) and next prime (13303032331).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13303032297 and 13303032306.

It is not an unprimeable number, because it can be changed into a prime (13303032331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40190265 + ... + 40190595.

It is an arithmetic number, because the mean of its divisors is an integer number (152961696).

Almost surely, 213303032330 is an apocalyptic number.

13303032330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579097088).

13303032330 is an abundant number, since it is smaller than the sum of its proper divisors (25855161846).

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

13303032330 is a wasteful number, since it uses less digits than its factorization.

13303032330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 13303032330 its reverse (3323030331), we get a palindrome (16626062661).

The spelling of 13303032330 in words is "thirteen billion, three hundred three million, thirty-two thousand, three hundred thirty".