Search a number
-
+
103354043200 = 2652174397911
BaseRepresentation
bin110000001000001100…
…0011000101101000000
3100212202220212101112221
41200100120120231000
53143132113340300
6115251415500424
710316131605052
oct1402030305500
9325686771487
10103354043200
113a917732431
1218045087714
1399916645a5
1450066a78d2
152a4d91531a
hex1810618b40

103354043200 has 336 divisors, whose sum is σ = 278683663104. Its totient is φ = 37571788800.

The previous prime is 103354043189. The next prime is 103354043209. The reversal of 103354043200 is 2340453301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103354043209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113450745 + ... + 113451655.

It is an arithmetic number, because the mean of its divisors is an integer number (829415664).

Almost surely, 2103354043200 is an apocalyptic number.

103354043200 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 103354043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139341831552).

103354043200 is an abundant number, since it is smaller than the sum of its proper divisors (175329619904).

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

103354043200 is a wasteful number, since it uses less digits than its factorization.

103354043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 103354043200 its reverse (2340453301), we get a palindrome (105694496501).

The spelling of 103354043200 in words is "one hundred three billion, three hundred fifty-four million, forty-three thousand, two hundred".