Search a number
-
+
103321120200 = 23352172201867
BaseRepresentation
bin110000000111001101…
…0110010110111001000
3100212200121220201200120
41200032122302313020
53143100201321300
6115244242103240
710315252013454
oct1401632626710
9325617821616
10103321120200
113a900095941
121803604ab20
1399878a801c
145002177664
152a4aab03a0
hex180e6b2dc8

103321120200 has 48 divisors (see below), whose sum is σ = 320295474480. Its totient is φ = 27552298560.

The previous prime is 103321120187. The next prime is 103321120223. The reversal of 103321120200 is 2021123301.

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 103321120200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 86100334 + ... + 86101533.

It is an arithmetic number, because the mean of its divisors is an integer number (6672822385).

Almost surely, 2103321120200 is an apocalyptic number.

103321120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321120200 is an abundant number, since it is smaller than the sum of its proper divisors (216974354280).

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

103321120200 is a wasteful number, since it uses less digits than its factorization.

103321120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172201886 (or 172201877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103321120200 its reverse (2021123301), we get a palindrome (105342243501).

The spelling of 103321120200 in words is "one hundred three billion, three hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 172201867 344403734 516605601 688807468 861009335 1033211202 1377614936 1722018670 2066422404 2583028005 3444037340 4132844808 4305046675 5166056010 6888074680 8610093350 10332112020 12915140025 17220186700 20664224040 25830280050 34440373400 51660560100 103321120200