Search a number
-
+
104711412000 = 25353131993373
BaseRepresentation
bin110000110000101001…
…0010101100100100000
3101000021111222212111110
41201201102111210200
53203422110141000
6120034224543320
710364563213356
oct1414122254440
9330244885443
10104711412000
1140453953728
1218363781b40
139b499379b0
1450d4a7d7d6
152accb88850
hex1861495920

104711412000 has 384 divisors, whose sum is σ = 371388326400. Its totient is φ = 25637990400.

The previous prime is 104711411983. The next prime is 104711412019. The reversal of 104711412000 is 214117401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31042314 + ... + 31045686.

It is an arithmetic number, because the mean of its divisors is an integer number (967157100).

Almost surely, 2104711412000 is an apocalyptic number.

104711412000 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 104711412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185694163200).

104711412000 is an abundant number, since it is smaller than the sum of its proper divisors (266676914400).

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

104711412000 is a wasteful number, since it uses less digits than its factorization.

104711412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 104711412000 its reverse (214117401), we get a palindrome (104925529401).

The spelling of 104711412000 in words is "one hundred four billion, seven hundred eleven million, four hundred twelve thousand".