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103332132200 = 235211234094993
BaseRepresentation
bin110000000111100010…
…0110011010101101000
3100212201101122012022102
41200033010303111220
53143111011212300
6115245314112532
710315444426433
oct1401704632550
9325641565272
10103332132200
113a906327370
121803987b748
139989c623bb
14500380281a
152a4ba380d5
hex180f133568

103332132200 has 192 divisors, whose sum is σ = 274206556800. Its totient is φ = 35846553600.

The previous prime is 103332132199. The next prime is 103332132203. The reversal of 103332132200 is 2231233301.

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

It is not an unprimeable number, because it can be changed into a prime (103332132203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20692904 + ... + 20697896.

It is an arithmetic number, because the mean of its divisors is an integer number (1428159150).

Almost surely, 2103332132200 is an apocalyptic number.

103332132200 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 103332132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137103278400).

103332132200 is an abundant number, since it is smaller than the sum of its proper divisors (170874424600).

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

103332132200 is a wasteful number, since it uses less digits than its factorization.

103332132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103332132200 its reverse (2231233301), we get a palindrome (105563365501).

It can be divided in two parts, 103332 and 132200, that added together give a palindrome (235532).

The spelling of 103332132200 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty-two thousand, two hundred".