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10232130422400 = 273523792812261
BaseRepresentation
bin1001010011100101101001…
…1111111100011010000000
31100020011220202120111211020
42110321122133330122000
52320120400342004100
633432324213345440
72104150505362215
oct224713237743200
940204822514736
1010232130422400
113295470966117
12119307b938280
13592b6901c953
14275348583b0c
1512b2640675a0
hex94e5a7fc680

10232130422400 has 192 divisors, whose sum is σ = 33791015287200. Its totient is φ = 2721367756800.

The previous prime is 10232130422357. The next prime is 10232130422509. The reversal of 10232130422400 is 422403123201.

It is a happy number.

10232130422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2232270 + ... + 5044530.

Almost surely, 210232130422400 is an apocalyptic number.

10232130422400 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 10232130422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895507643600).

10232130422400 is an abundant number, since it is smaller than the sum of its proper divisors (23558884864800).

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

10232130422400 is a wasteful number, since it uses less digits than its factorization.

10232130422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812667 (or 2812650 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10232130422400 its reverse (422403123201), we get a palindrome (10654533545601).

The spelling of 10232130422400 in words is "ten trillion, two hundred thirty-two billion, one hundred thirty million, four hundred twenty-two thousand, four hundred".