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11331202300 = 225211385133
BaseRepresentation
bin10101000110110010…
…00110110011111100
31002020200122201101021
422203121012303330
5141201241433200
65112214553524
7550540426135
oct124331066374
932220581337
1011331202300
114895194000
1222429688a4
1310b772b742
14796c86c8c
15464bb341a
hex2a3646cfc

11331202300 has 72 divisors (see below), whose sum is σ = 27046050192. Its totient is φ = 4120388800.

The previous prime is 11331202297. The next prime is 11331202301. The reversal of 11331202300 is 320213311.

It is a super-2 number, since 2×113312023002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331202301) 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, 90534 + ... + 175666.

It is an arithmetic number, because the mean of its divisors is an integer number (375639586).

Almost surely, 211331202300 is an apocalyptic number.

11331202300 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 11331202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523025096).

11331202300 is an abundant number, since it is smaller than the sum of its proper divisors (15714847892).

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

11331202300 is a wasteful number, since it uses less digits than its factorization.

11331202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85180 (or 85151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11331202300 its reverse (320213311), we get a palindrome (11651415611).

The spelling of 11331202300 in words is "eleven billion, three hundred thirty-one million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 26620 33275 66550 85133 133100 170266 340532 425665 851330 936463 1702660 1872926 2128325 3745852 4256650 4682315 8513300 9364630 10301093 18729260 20602186 23411575 41204372 46823150 51505465 93646300 103010930 113312023 206021860 226624046 257527325 453248092 515054650 566560115 1030109300 1133120230 2266240460 2832800575 5665601150 11331202300