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3310020120 = 2335114753353
BaseRepresentation
bin1100010101001010…
…1110011000011000
322112200101102222210
43011102232120120
523234331120440
61304241115120
7145011464301
oct30522563030
98480342883
103310020120
111449469120
12784628aa0
134099b00b4
142358677a8
151458d1a80
hexc54ae618

3310020120 has 128 divisors (see below), whose sum is σ = 11063485440. Its totient is φ = 785341440.

The previous prime is 3310020097. The next prime is 3310020151. The reversal of 3310020120 is 210200133.

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 = 3310020096 and 3310020105.

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, 35364 + ... + 88716.

It is an arithmetic number, because the mean of its divisors is an integer number (86433480).

Almost surely, 23310020120 is an apocalyptic number.

3310020120 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 3310020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531742720).

3310020120 is an abundant number, since it is smaller than the sum of its proper divisors (7753465320).

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

3310020120 is a wasteful number, since it uses less digits than its factorization.

3310020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53425 (or 53421 counting only the distinct ones).

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

The square root of 3310020120 is about 57532.7743116912. The cubic root of 3310020120 is about 1490.3109000953.

Adding to 3310020120 its reverse (210200133), we get a palindrome (3520220253).

The spelling of 3310020120 in words is "three billion, three hundred ten million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 53353 62040 106706 160059 213412 266765 320118 426824 533530 586883 640236 800295 1067060 1173766 1280472 1600590 1760649 2134120 2347532 2507591 2934415 3201180 3521298 4695064 5015182 5868830 6402360 7042596 7522773 8803245 10030364 11737660 12537955 14085192 15045546 17606490 20060728 23475320 25075910 27583501 30091092 35212980 37613865 50151820 55167002 60182184 70425960 75227730 82750503 100303640 110334004 137917505 150455460 165501006 220668008 275835010 300910920 331002012 413752515 551670020 662004024 827505030 1103340040 1655010060 3310020120