Search a number
-
+
103223112023200 = 2552133113113991747
BaseRepresentation
bin10111011110000110000000…
…111011001011110010100000
3111112111000220011012220202111
4113132012000323023302200
5102012201413134220300
61003312013143125104
730512423641252231
oct2736060073136240
9445430804186674
10103223112023200
112a987748797174
12b6b13b7443794
134579b89317390
141b6c04d519088
15be010b5249ba
hex5de180ecbca0

103223112023200 has 576 divisors, whose sum is σ = 282633510297600. Its totient is φ = 36555038208000.

The previous prime is 103223112023183. The next prime is 103223112023203. The reversal of 103223112023200 is 2320211322301.

It is not an unprimeable number, because it can be changed into a prime (103223112023203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59085924727 + ... + 59085926473.

It is an arithmetic number, because the mean of its divisors is an integer number (490683177600).

Almost surely, 2103223112023200 is an apocalyptic number.

103223112023200 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 103223112023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141316755148800).

103223112023200 is an abundant number, since it is smaller than the sum of its proper divisors (179410398274400).

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

103223112023200 is a wasteful number, since it uses less digits than its factorization.

103223112023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103223112023200 its reverse (2320211322301), we get a palindrome (105543323345501).

The spelling of 103223112023200 in words is "one hundred three trillion, two hundred twenty-three billion, one hundred twelve million, twenty-three thousand, two hundred".