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103323300303330 = 232511310159616549
BaseRepresentation
bin10111011111100011010100…
…100111001001000111100010
3111112211121111110010212210100
4113133203110213021013202
5102020322104334201310
61003430022513443230
730522601462503342
oct2737432447110742
9445747443125710
10103323300303330
112aa1619042a988
12b7088b8270516
134586464b39783
141b72c3558ad22
15be2a22050ec0
hex5df8d49c91e2

103323300303330 has 48 divisors (see below), whose sum is σ = 271017931087800. Its totient is φ = 27309049281024.

The previous prime is 103323300303263. The next prime is 103323300303331. The reversal of 103323300303330 is 33303003323301.

103323300303330 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 23 + 3 + 0 + 0 + 303 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53679199438881 + 49644100864449 = 7326609^2 + 7045857^2 .

It is a super-2 number, since 2×1033233003033302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103323300303294 and 103323300303303.

It is not an unprimeable number, because it can be changed into a prime (103323300303331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5079798105 + ... + 5079818444.

Almost surely, 2103323300303330 is an apocalyptic number.

103323300303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103323300303330 is an abundant number, since it is smaller than the sum of its proper divisors (167694630784470).

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

103323300303330 is a wasteful number, since it uses less digits than its factorization.

103323300303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159616675 (or 10159616672 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 103323300303330 its reverse (33303003323301), we get a palindrome (136626303626631).

The spelling of 103323300303330 in words is "one hundred three trillion, three hundred twenty-three billion, three hundred million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 10159616549 20319233098 30478849647 50798082745 60957699294 91436548941 101596165490 152394248235 182873097882 304788496470 457182744705 914365489410 1148036670037 2296073340074 3444110010111 5740183350185 6888220020222 10332330030333 11480366700370 17220550050555 20664660060666 34441100101110 51661650151665 103323300303330