Search a number
-
+
124300431112320 = 27325193073699629
BaseRepresentation
bin11100010000110011110011…
…000010101011100010000000
3121022010000010202121112112200
4130100303303002223202000
5112243014240331043240
61120210455120153200
735116260362415111
oct3420636302534200
9538100122545480
10124300431112320
1136673575948151
1211b3630aa68800
135448632469948
14229a25c894208
15e58515a7b930
hex710cf30ab880

124300431112320 has 384 divisors, whose sum is σ = 453287546712000. Its totient is φ = 31299918372864.

The previous prime is 124300431112279. The next prime is 124300431112321. The reversal of 124300431112320 is 23211134003421.

124300431112320 is a `hidden beast` number, since 1 + 2 + 4 + 300 + 4 + 31 + 1 + 1 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (124300431112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31748266 + ... + 35447894.

Almost surely, 2124300431112320 is an apocalyptic number.

124300431112320 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 124300431112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226643773356000).

124300431112320 is an abundant number, since it is smaller than the sum of its proper divisors (328987115599680).

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

124300431112320 is a wasteful number, since it uses less digits than its factorization.

124300431112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699980 (or 3699965 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 124300431112320 its reverse (23211134003421), we get a palindrome (147511565115741).

The spelling of 124300431112320 in words is "one hundred twenty-four trillion, three hundred billion, four hundred thirty-one million, one hundred twelve thousand, three hundred twenty".