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3102031020 = 2235112479091
BaseRepresentation
bin1011100011100101…
…0011110010101100
322000012000111120210
42320321103302230
522323104443040
61231451142420
7136604554134
oct27071236254
98005014523
103102031020
111352019900
12726a44a10
133a588961a
14215da5ac4
151324ea480
hexb8e53cac

3102031020 has 144 divisors (see below), whose sum is σ = 9751279104. Its totient is φ = 735926400.

The previous prime is 3102030989. The next prime is 3102031043. The reversal of 3102031020 is 201302013.

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 = 3102030987 and 3102031005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336675 + ... + 345765.

It is an arithmetic number, because the mean of its divisors is an integer number (67717216).

Almost surely, 23102031020 is an apocalyptic number.

3102031020 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 3102031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875639552).

3102031020 is an abundant number, since it is smaller than the sum of its proper divisors (6649248084).

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

3102031020 is a wasteful number, since it uses less digits than its factorization.

3102031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9159 counting only the distinct ones).

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

The square root of 3102031020 is about 55695.8797398874. The cubic root of 3102031020 is about 1458.4180996134.

Adding to 3102031020 its reverse (201302013), we get a palindrome (3303333033).

The spelling of 3102031020 in words is "three billion, one hundred two million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 121 132 141 165 188 220 235 242 282 330 363 470 484 517 564 605 660 705 726 940 1034 1210 1410 1452 1551 1815 2068 2420 2585 2820 3102 3630 5170 5687 6204 7260 7755 9091 10340 11374 15510 17061 18182 22748 27273 28435 31020 34122 36364 45455 54546 56870 68244 85305 90910 100001 109092 113740 136365 170610 181820 200002 272730 300003 341220 400004 427277 500005 545460 600006 854554 1000010 1100011 1200012 1281831 1500015 1709108 2000020 2136385 2200022 2563662 3000030 3300033 4272770 4400044 4700047 5127324 5500055 6000060 6409155 6600066 8545540 9400094 11000110 12818310 13200132 14100141 16500165 18800188 22000220 23500235 25636620 28200282 33000330 47000470 51700517 56400564 66000660 70500705 94000940 103401034 141001410 155101551 206802068 258502585 282002820 310203102 517005170 620406204 775507755 1034010340 1551015510 3102031020