Search a number
-
+
10023130230300 = 223252111765519091
BaseRepresentation
bin1001000111011011000100…
…0111011110111000011100
31022111012110011211200210200
42101312301013132320130
52303204332314332200
633152321254103500
72053101340144125
oct221666107367034
938435404750720
1010023130230300
113214870792430
12115a67204ab90
1357923c1b3c25
1426919d03b04c
15125ad08c9800
hex91db11dee1c

10023130230300 has 432 divisors, whose sum is σ = 36298623239424. Its totient is φ = 2286316800000.

The previous prime is 10023130230299. The next prime is 10023130230301. The reversal of 10023130230300 is 303203132001.

10023130230300 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 130 + 230 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (10023130230299) and next prime (10023130230301).

It is a super-2 number, since 2×100231302303002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023130230301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1102528755 + ... + 1102537845.

It is an arithmetic number, because the mean of its divisors is an integer number (84024590832).

Almost surely, 210023130230300 is an apocalyptic number.

10023130230300 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 10023130230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149311619712).

10023130230300 is an abundant number, since it is smaller than the sum of its proper divisors (26275493009124).

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

10023130230300 is a wasteful number, since it uses less digits than its factorization.

10023130230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15680 counting only the distinct ones).

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

Adding to 10023130230300 its reverse (303203132001), we get a palindrome (10326333362301).

The spelling of 10023130230300 in words is "ten trillion, twenty-three billion, one hundred thirty million, two hundred thirty thousand, three hundred".