Search a number
-
+
104210430111200 = 25527532017174077
BaseRepresentation
bin10111101100011101100001…
…101010110010110111100000
3111122222102100001101110111002
4113230131201222302313200
5102124340430102024300
61005345335524211132
730643645414450010
oct2754354152626740
9448872301343432
10104210430111200
1130228439045956
12b83081a239aa8
13461c0030a307a
141ba3b51557c40
15c0ab4471c5d5
hex5ec761ab2de0

104210430111200 has 288 divisors, whose sum is σ = 296381464997184. Its totient is φ = 35037571645440.

The previous prime is 104210430111143. The next prime is 104210430111247. The reversal of 104210430111200 is 2111034012401.

It is a super-2 number, since 2×1042104301112002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598558562 + ... + 598732638.

It is an arithmetic number, because the mean of its divisors is an integer number (1029102309018).

Almost surely, 2104210430111200 is an apocalyptic number.

104210430111200 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 104210430111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148190732498592).

104210430111200 is an abundant number, since it is smaller than the sum of its proper divisors (192171034885984).

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

104210430111200 is a wasteful number, since it uses less digits than its factorization.

104210430111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176174 (or 176161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 104210430111200 its reverse (2111034012401), we get a palindrome (106321464123601).

The spelling of 104210430111200 in words is "one hundred four trillion, two hundred ten billion, four hundred thirty million, one hundred eleven thousand, two hundred".