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3020110320 = 2435113193577
BaseRepresentation
bin1011010000000011…
…0011100111110000
321210110212111111210
42310000303213300
522141122012240
61215403240120
7134561341233
oct26400634760
97713774453
103020110320
11130a856647
12703519040
13391905c36
1420915d41a
1512a217780
hexb40339f0

3020110320 has 160 divisors (see below), whose sum is σ = 9510587712. Its totient is φ = 792723456.

The previous prime is 3020110297. The next prime is 3020110361. The reversal of 3020110320 is 230110203.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3020110296 and 3020110305.

It is a congruent number.

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, 5233872 + ... + 5234448.

Almost surely, 23020110320 is an apocalyptic number.

3020110320 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 3020110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755293856).

3020110320 is an abundant number, since it is smaller than the sum of its proper divisors (6490477392).

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

3020110320 is a wasteful number, since it uses less digits than its factorization.

3020110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3020110320 is about 54955.5303859402. The cubic root of 3020110320 is about 1445.4650738164.

Adding to 3020110320 its reverse (230110203), we get a palindrome (3250220523).

The spelling of 3020110320 in words is "three billion, twenty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 193 226 240 339 386 452 565 577 579 678 772 904 965 1130 1154 1158 1356 1544 1695 1731 1808 1930 2260 2308 2316 2712 2885 2895 3088 3390 3462 3860 4520 4616 4632 5424 5770 5790 6780 6924 7720 8655 9040 9232 9264 11540 11580 13560 13848 15440 17310 21809 23080 23160 27120 27696 34620 43618 46160 46320 65201 65427 69240 87236 109045 111361 130402 130854 138480 174472 195603 218090 222722 260804 261708 326005 327135 334083 348944 391206 436180 445444 521608 523416 556805 652010 654270 668166 782412 872360 890888 978015 1043216 1046832 1113610 1304020 1308540 1336332 1564824 1670415 1744720 1781776 1956030 2227220 2608040 2617080 2672664 3129648 3340830 3912060 4454440 5216080 5234160 5345328 6681660 7824120 8908880 12583793 13363320 15648240 25167586 26726640 37751379 50335172 62918965 75502758 100670344 125837930 151005516 188756895 201340688 251675860 302011032 377513790 503351720 604022064 755027580 1006703440 1510055160 3020110320