Search a number
-
+
231011100320 = 255711131442377
BaseRepresentation
bin1101011100100101010…
…1011010011010100000
3211002021120010210202112
43113021111122122200
512241102320202240
6254043001334452
722455445645130
oct3271125323240
9732246123675
10231011100320
1189a7581a930
1238931197428
1318a27009a90
14b276926ac0
156020c23665
hex35c955a6a0

231011100320 has 192 divisors, whose sum is σ = 732774180096. Its totient is φ = 66464686080.

The previous prime is 231011100311. The next prime is 231011100367. The reversal of 231011100320 is 23001110132.

231011100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2310111003202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 231011100295 and 231011100304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561029 + ... + 881348.

It is an arithmetic number, because the mean of its divisors is an integer number (3816532188).

Almost surely, 2231011100320 is an apocalyptic number.

231011100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231011100320 is an abundant number, since it is smaller than the sum of its proper divisors (501763079776).

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

231011100320 is a wasteful number, since it uses less digits than its factorization.

231011100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442423 (or 1442415 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 231011100320 its reverse (23001110132), we get a palindrome (254012210452).

The spelling of 231011100320 in words is "two hundred thirty-one billion, eleven million, one hundred thousand, three hundred twenty".