Search a number
-
+
103221202200 = 23352293126173
BaseRepresentation
bin110000000100001110…
…1101000110100011000
3100212102122220100221220
41200020131220310120
53142344111432300
6115230312332040
710312626512364
oct1401035506430
9325378810856
10103221202200
113a85974aa86
12180086a4020
13996cc9294c
144dd2ba82a4
152a41e24da0
hex1808768d18

103221202200 has 288 divisors, whose sum is σ = 342097635600. Its totient is φ = 25715020800.

The previous prime is 103221202187. The next prime is 103221202213. The reversal of 103221202200 is 2202122301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103221202187) and next prime (103221202213).

It is a super-2 number, since 2×1032212022002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103221202200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16718314 + ... + 16724486.

Almost surely, 2103221202200 is an apocalyptic number.

103221202200 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 103221202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171048817800).

103221202200 is an abundant number, since it is smaller than the sum of its proper divisors (238876433400).

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

103221202200 is a wasteful number, since it uses less digits than its factorization.

103221202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103221202200 its reverse (2202122301), we get a palindrome (105423324501).

The spelling of 103221202200 in words is "one hundred three billion, two hundred twenty-one million, two hundred two thousand, two hundred".