Search a number
-
+
104310335224320 = 293547844734211
BaseRepresentation
bin10111101101111010100100…
…011110100011101000000000
3111200022222012121111001101220
4113231322210132203220000
5102133010031304134240
61005503301221355040
730654113230060251
oct2755724436435000
9450288177431356
10104310335224320
1130266845962045
12b848060268a80
13462856503c414
141ba890bb58b28
15c0d5404625d0
hex5edea47a3a00

104310335224320 has 320 divisors, whose sum is σ = 340612421124096. Its totient is φ = 27220239073280.

The previous prime is 104310335224309. The next prime is 104310335224327. The reversal of 104310335224320 is 23422533013401.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1043103352243202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104310335224327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3049012015 + ... + 3049046225.

Almost surely, 2104310335224320 is an apocalyptic number.

104310335224320 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 104310335224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170306210562048).

104310335224320 is an abundant number, since it is smaller than the sum of its proper divisors (236302085899776).

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

104310335224320 is an equidigital number, since it uses as much as digits as its factorization.

104310335224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42731 (or 42715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 104310335224320 its reverse (23422533013401), we get a palindrome (127732868237721).

The spelling of 104310335224320 in words is "one hundred four trillion, three hundred ten billion, three hundred thirty-five million, two hundred twenty-four thousand, three hundred twenty".