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3311123490 = 23251710321011
BaseRepresentation
bin1100010101011011…
…1011110000100010
322112202110111112100
43011112323300202
523240121422430
61304320511230
7145024041153
oct30526736042
98482414470
103311123490
11144a0520a4
12784a7b516
13409ca838c
14235a7392a
15145a4d960
hexc55bbc22

3311123490 has 96 divisors (see below), whose sum is σ = 9204264576. Its totient is φ = 822919680.

The previous prime is 3311123479. The next prime is 3311123503. The reversal of 3311123490 is 943211133.

3311123490 is a `hidden beast` number, since 3 + 311 + 1 + 2 + 349 + 0 = 666.

3311123490 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147085 + ... + 168095.

It is an arithmetic number, because the mean of its divisors is an integer number (95877756).

Almost surely, 23311123490 is an apocalyptic number.

3311123490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311123490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602132288).

3311123490 is an abundant number, since it is smaller than the sum of its proper divisors (5893141086).

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

3311123490 is a wasteful number, since it uses less digits than its factorization.

3311123490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21144 (or 21141 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3311123490 is about 57542.3625688066. The cubic root of 3311123490 is about 1490.4764762952.

The spelling of 3311123490 in words is "three billion, three hundred eleven million, one hundred twenty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 103 153 170 206 255 306 309 510 515 618 765 927 1030 1530 1545 1751 1854 3090 3502 4635 5253 8755 9270 10506 15759 17510 21011 26265 31518 42022 52530 63033 78795 105055 126066 157590 189099 210110 315165 357187 378198 630330 714374 945495 1071561 1785935 1890990 2143122 2164133 3214683 3571870 4328266 5357805 6429366 6492399 10715610 10820665 12984798 16073415 19477197 21641330 32146830 32461995 36790261 38954394 64923990 73580522 97385985 110370783 183951305 194771970 220741566 331112349 367902610 551853915 662224698 1103707830 1655561745 3311123490