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1213123040 = 25523714643
BaseRepresentation
bin100100001001110…
…1100100111100000
310010112201000221222
41020103230213200
54441024414130
6320213234212
742030242603
oct11023544740
93115630858
101213123040
1157285a328
1229a332968
1316443a6ac
14b718833a
157177dce5
hex484ec9e0

1213123040 has 96 divisors (see below), whose sum is σ = 3033386496. Its totient is φ = 457515520.

The previous prime is 1213123027. The next prime is 1213123049. The reversal of 1213123040 is 403213121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258959 + ... + 263601.

It is an arithmetic number, because the mean of its divisors is an integer number (31597776).

Almost surely, 21213123040 is an apocalyptic number.

1213123040 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 1213123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516693248).

1213123040 is an abundant number, since it is smaller than the sum of its proper divisors (1820263456).

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

1213123040 is a wasteful number, since it uses less digits than its factorization.

1213123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1213123040 is about 34829.9158770158. The cubic root of 1213123040 is about 1066.5182310810.

Adding to 1213123040 its reverse (403213121), we get a palindrome (1616336161).

The spelling of 1213123040 in words is "one billion, two hundred thirteen million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 71 80 92 115 142 160 184 230 284 355 368 460 568 710 736 920 1136 1420 1633 1840 2272 2840 3266 3680 4643 5680 6532 8165 9286 11360 13064 16330 18572 23215 26128 32660 37144 46430 52256 65320 74288 92860 106789 130640 148576 185720 213578 261280 329653 371440 427156 533945 659306 742880 854312 1067890 1318612 1648265 1708624 2135780 2637224 3296530 3417248 4271560 5274448 6593060 7582019 8543120 10548896 13186120 15164038 17086240 26372240 30328076 37910095 52744480 60656152 75820190 121312304 151640380 242624608 303280760 606561520 1213123040