Search a number
-
+
103130120230200 = 233352717267759951
BaseRepresentation
bin10111011100101111011010…
…001011101001010100111000
3111112011010212101202101012000
4113130233122023221110320
5102004140441234331300
61003201153450221000
730502622343124140
oct2734573213512470
9445133771671160
10103130120230200
112a951269300788
12b697384724760
1345711897252ab
141b6774b14d920
15bdc9b76c5c00
hex5dcbda2e9538

103130120230200 has 768 divisors, whose sum is σ = 430021019750400. Its totient is φ = 22177317888000.

The previous prime is 103130120230177. The next prime is 103130120230211. The reversal of 103130120230200 is 2032021031301.

103130120230200 is a `hidden beast` number, since 1 + 0 + 313 + 0 + 120 + 2 + 30 + 200 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1720210225 + ... + 1720270175.

It is an arithmetic number, because the mean of its divisors is an integer number (559923202800).

Almost surely, 2103130120230200 is an apocalyptic number.

103130120230200 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 103130120230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215010509875200).

103130120230200 is an abundant number, since it is smaller than the sum of its proper divisors (326890899520200).

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

103130120230200 is a wasteful number, since it uses less digits than its factorization.

103130120230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62677 (or 62662 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103130120230200 its reverse (2032021031301), we get a palindrome (105162141261501).

The spelling of 103130120230200 in words is "one hundred three trillion, one hundred thirty billion, one hundred twenty million, two hundred thirty thousand, two hundred".