Search a number
-
+
104130251232 = 2537217276597
BaseRepresentation
bin110000011111010100…
…1011000100111100000
3100221210000102211210120
41200332221120213200
53201224321014412
6115500424400240
710344305350200
oct1407651304740
9327700384716
10104130251232
11401858a2a77
1218221016080
139a86407097
14507b7dc400
152a96b3cb8c
hex183ea589e0

104130251232 has 216 divisors, whose sum is σ = 337777877304. Its totient is φ = 28001046528.

The previous prime is 104130251231. The next prime is 104130251261. The reversal of 104130251232 is 232152031401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104130251231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1321158 + ... + 1397754.

It is an arithmetic number, because the mean of its divisors is an integer number (1563786469).

Almost surely, 2104130251232 is an apocalyptic number.

104130251232 is a gapful number since it is divisible by the number (12) 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 104130251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168888938652).

104130251232 is an abundant number, since it is smaller than the sum of its proper divisors (233647626072).

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

104130251232 is a wasteful number, since it uses less digits than its factorization.

104130251232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76658 (or 76626 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 104130251232 its reverse (232152031401), we get a palindrome (336282282633).

The spelling of 104130251232 in words is "one hundred four billion, one hundred thirty million, two hundred fifty-one thousand, two hundred thirty-two".