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3013011320 = 235113173329
BaseRepresentation
bin1011001110010110…
…1110011101111000
321202222111211111212
42303211232131320
522132312330240
61214551142252
7134444113364
oct26345563570
97688454455
103013011320
111306848000
12701074988
133902bb947
142082322a4
151297b4165
hexb396e778

3013011320 has 128 divisors (see below), whose sum is σ = 7897694400. Its totient is φ = 1030881280.

The previous prime is 3013011259. The next prime is 3013011329. The reversal of 3013011320 is 231103103.

It is a junction number, because it is equal to n+sod(n) for n = 3013011295 and 3013011304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013011329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903416 + ... + 906744.

Almost surely, 23013011320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948847200).

3013011320 is an abundant number, since it is smaller than the sum of its proper divisors (4884683080).

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

3013011320 is a wasteful number, since it uses less digits than its factorization.

3013011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3013011320 is about 54890.9038001744. The cubic root of 3013011320 is about 1444.3316265776.

Adding to 3013011320 its reverse (231103103), we get a palindrome (3244114423).

The spelling of 3013011320 in words is "three billion, thirteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1331 1496 1870 2057 2420 2662 3329 3740 4114 4840 5324 6655 6658 7480 8228 10285 10648 13310 13316 16456 16645 20570 22627 26620 26632 33290 36619 41140 45254 53240 56593 66580 73238 82280 90508 113135 113186 133160 146476 181016 183095 226270 226372 282965 292952 366190 402809 452540 452744 565930 622523 732380 805618 905080 1131860 1245046 1464760 1611236 2014045 2263720 2490092 3112615 3222472 4028090 4430899 4980184 6225230 6847753 8056180 8861798 12450460 13695506 16112360 17723596 22154495 24900920 27391012 34238765 35447192 44308990 54782024 68477530 75325283 88617980 136955060 150650566 177235960 273910120 301301132 376626415 602602264 753252830 1506505660 3013011320