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10230123031200 = 253452157872269
BaseRepresentation
bin1001010011011110001011…
…0110010110101010100000
31100012222201212022110210000
42110313202312112222200
52320102242443444300
633431353104140000
72104046662004562
oct224674266265240
940188655273700
1010230123031200
113294630830426
1211927bb607600
135929091882c7
142751d7b23332
1512b197be4c00
hex94de2d96aa0

10230123031200 has 180 divisors, whose sum is σ = 37307269740510. Its totient is φ = 2728032791040.

The previous prime is 10230123031127. The next prime is 10230123031229. The reversal of 10230123031200 is 213032103201.

10230123031200 is a `hidden beast` number, since 1 + 0 + 230 + 1 + 230 + 3 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6256941926544 + 3973181104656 = 2501388^2 + 1993284^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 78871335 + ... + 79000934.

Almost surely, 210230123031200 is an apocalyptic number.

10230123031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230123031200 is an abundant number, since it is smaller than the sum of its proper divisors (27077146709310).

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

10230123031200 is a wasteful number, since it uses less digits than its factorization.

10230123031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157872301 (or 157872279 counting only the distinct ones).

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

Adding to 10230123031200 its reverse (213032103201), we get a palindrome (10443155134401).

The spelling of 10230123031200 in words is "ten trillion, two hundred thirty billion, one hundred twenty-three million, thirty-one thousand, two hundred".