Search a number
-
+
104315132130000 = 2435411229699679
BaseRepresentation
bin10111101101111111000010…
…011001010011001011010000
3111200100102120220201002221020
4113231333002121103023100
5102133044342311130000
61005505413215555440
730654343135102101
oct2755770231231320
9450312526632836
10104315132130000
1130268887663300
12b848b7a82bb80
134628b4aa9c44c
141ba8c44c703a8
15c0d72164cba0
hex5edfc26532d0

104315132130000 has 600 divisors, whose sum is σ = 370302092899200. Its totient is φ = 25277387520000.

The previous prime is 104315132129981. The next prime is 104315132130037. The reversal of 104315132130000 is 31231513401.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10777465161 + ... + 10777474839.

It is an arithmetic number, because the mean of its divisors is an integer number (617170154832).

Almost surely, 2104315132130000 is an apocalyptic number.

104315132130000 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 104315132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185151046449600).

104315132130000 is an abundant number, since it is smaller than the sum of its proper divisors (265986960769200).

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

104315132130000 is a wasteful number, since it uses less digits than its factorization.

104315132130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701 (or 12669 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 104315132130000 its reverse (31231513401), we get a palindrome (104346363643401).

The spelling of 104315132130000 in words is "one hundred four trillion, three hundred fifteen billion, one hundred thirty-two million, one hundred thirty thousand".