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3311013000 = 233531139767
BaseRepresentation
bin1100010101011010…
…0000110010001000
322112202020212222010
43011112200302020
523240104404000
61304314255520
7145023101061
oct30526406210
98482225863
103311013000
111449a87089
12784a275a0
13409c69cb9
14235a45568
15145a2ad50
hexc55a0c88

3311013000 has 128 divisors (see below), whose sum is σ = 10422846720. Its totient is φ = 875033600.

The previous prime is 3311012993. The next prime is 3311013031. The reversal of 3311013000 is 3101133.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334117 + ... + 343883.

It is an arithmetic number, because the mean of its divisors is an integer number (81428490).

Almost surely, 23311013000 is an apocalyptic number.

3311013000 is a gapful number since it is divisible by the number (30) 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 3311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211423360).

3311013000 is an abundant number, since it is smaller than the sum of its proper divisors (7111833720).

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

3311013000 is a wasteful number, since it uses less digits than its factorization.

3311013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3311013000 is about 57541.4024855147. The cubic root of 3311013000 is about 1490.4598973729.

Adding to 3311013000 its reverse (3101133), we get a palindrome (3314114133).

The spelling of 3311013000 in words is "three billion, three hundred eleven million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 125 150 200 226 250 300 339 375 452 500 565 600 678 750 904 1000 1130 1356 1500 1695 2260 2712 2825 3000 3390 4520 5650 6780 8475 9767 11300 13560 14125 16950 19534 22600 28250 29301 33900 39068 42375 48835 56500 58602 67800 78136 84750 97670 113000 117204 146505 169500 195340 234408 244175 293010 339000 390680 488350 586020 732525 976700 1103671 1172040 1220875 1465050 1953400 2207342 2441750 2930100 3311013 3662625 4414684 4883500 5518355 5860200 6622026 7325250 8829368 9767000 11036710 13244052 14650500 16555065 22073420 26488104 27591775 29301000 33110130 44146840 55183550 66220260 82775325 110367100 132440520 137958875 165550650 220734200 275917750 331101300 413876625 551835500 662202600 827753250 1103671000 1655506500 3311013000