Search a number
-
+
113303301020 = 2257131729197641
BaseRepresentation
bin110100110000101100…
…1110010101110011100
3101211110022011001111022
41221201121302232130
53324021121113040
6124014550543312
711120522111450
oct1514131625634
9354408131438
10113303301020
114406283a058
1219b61067b38
13a8b89968b0
1456abbbc660
152e320ed6b5
hex1a61672b9c

113303301020 has 384 divisors, whose sum is σ = 322894978560. Its totient is φ = 32369541120.

The previous prime is 113303301019. The next prime is 113303301091. The reversal of 113303301020 is 20103303311.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 113303301020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176759900 + ... + 176760540.

It is an arithmetic number, because the mean of its divisors is an integer number (840872340).

Almost surely, 2113303301020 is an apocalyptic number.

113303301020 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 113303301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161447489280).

113303301020 is an abundant number, since it is smaller than the sum of its proper divisors (209591677540).

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

113303301020 is a wasteful number, since it uses less digits than its factorization.

113303301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 113303301020 its reverse (20103303311), we get a palindrome (133406604331).

The spelling of 113303301020 in words is "one hundred thirteen billion, three hundred three million, three hundred one thousand, twenty".