Search a number
-
+
130003332201000 = 23325337439079079
BaseRepresentation
bin11101100011110011000010…
…011011110111101000101000
3122001022012022202010122012200
4131203303002123313220220
5114014433311020413000
61140254412322340200
736245300523020256
oct3543630233675050
9561265282118180
10130003332201000
1138472115936155
12126b7624aba660
135770352a3025b
1424162a295b5d6
151006a41dac500
hex763cc26f7a28

130003332201000 has 384 divisors, whose sum is σ = 461782345939200. Its totient is φ = 32946158246400.

The previous prime is 130003332200927. The next prime is 130003332201019. The reversal of 130003332201000 is 102233300031.

130003332201000 is a `hidden beast` number, since 1 + 300 + 0 + 3 + 332 + 20 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9779461 + ... + 18858539.

It is an arithmetic number, because the mean of its divisors is an integer number (1202558192550).

Almost surely, 2130003332201000 is an apocalyptic number.

130003332201000 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 130003332201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230891172969600).

130003332201000 is an abundant number, since it is smaller than the sum of its proper divisors (331779013738200).

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

130003332201000 is a wasteful number, since it uses less digits than its factorization.

130003332201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079186 (or 9079169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130003332201000 its reverse (102233300031), we get a palindrome (130105565501031).

The spelling of 130003332201000 in words is "one hundred thirty trillion, three billion, three hundred thirty-two million, two hundred one thousand".