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103321022200 = 235211311514971
BaseRepresentation
bin110000000111001101…
…0011010111011111000
3100212200121201202020221
41200032122122323320
53143100140202300
6115244240025424
710315251124654
oct1401632327370
9325617652227
10103321022200
113a900029250
1218036002274
139987872536
14500214da64
152a4aa9131a
hex180e69aef8

103321022200 has 96 divisors (see below), whose sum is σ = 270513400320. Its totient is φ = 36359280000.

The previous prime is 103321022159. The next prime is 103321022221. The reversal of 103321022200 is 2220123301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689286 + ... + 825685.

It is an arithmetic number, because the mean of its divisors is an integer number (2817847920).

Almost surely, 2103321022200 is an apocalyptic number.

103321022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103321022200 is an abundant number, since it is smaller than the sum of its proper divisors (167192378120).

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

103321022200 is a wasteful number, since it uses less digits than its factorization.

103321022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515029 (or 1515020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103321022200 its reverse (2220123301), we get a palindrome (105541145501).

The spelling of 103321022200 in words is "one hundred three billion, three hundred twenty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 2200 2728 3100 3410 6200 6820 8525 13640 17050 34100 68200 1514971 3029942 6059884 7574855 12119768 15149710 16664681 30299420 33329362 37874275 46964101 60598840 66658724 75748550 83323405 93928202 133317448 151497100 166646810 187856404 234820505 302994200 333293620 375712808 416617025 469641010 516605111 666587240 833234050 939282020 1033210222 1174102525 1666468100 1878564040 2066420444 2348205050 2583025555 3332936200 4132840888 4696410100 5166051110 9392820200 10332102220 12915127775 20664204440 25830255550 51660511100 103321022200