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10230232320000 = 211325471119607
BaseRepresentation
bin1001010011011110100101…
…0111010000100000000000
31100020000000110221220211100
42110313221113100200000
52320103003433220000
633431412010414400
72104052456645040
oct224675127204000
940200013856740
1010230232320000
113294687496750
121192830131400
13592925a01a34
14275208451720
1512b1a25d1a00
hex94de95d0800

10230232320000 has 2880 divisors, whose sum is σ = 48534783897600. Its totient is φ = 2010562560000.

The previous prime is 10230232319999. The next prime is 10230232320037. The reversal of 10230232320000 is 2323203201.

It is a happy number.

10230232320000 is a `hidden beast` number, since 1 + 0 + 230 + 232 + 3 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16853759697 + ... + 16853760303.

It is an arithmetic number, because the mean of its divisors is an integer number (16852355520).

Almost surely, 210230232320000 is an apocalyptic number.

10230232320000 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 10230232320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267391948800).

10230232320000 is an abundant number, since it is smaller than the sum of its proper divisors (38304551577600).

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

10230232320000 is a wasteful number, since it uses less digits than its factorization.

10230232320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10230232320000 its reverse (2323203201), we get a palindrome (10232555523201).

The spelling of 10230232320000 in words is "ten trillion, two hundred thirty billion, two hundred thirty-two million, three hundred twenty thousand".