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3106321020 = 22325111982571
BaseRepresentation
bin1011100100100110…
…1011001001111100
322000111002110100200
42321021223021330
522330204233040
61232123123500
7136656202335
oct27111531174
98014073320
103106321020
111354489a60
12728373590
133a672c19a
142167a128c
15132a96630
hexb926b27c

3106321020 has 144 divisors (see below), whose sum is σ = 10820234880. Its totient is φ = 713404800.

The previous prime is 3106321013. The next prime is 3106321027. The reversal of 3106321020 is 201236013.

3106321020 is a `hidden beast` number, since 3 + 1 + 0 + 632 + 10 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3106321013) and next prime (3106321027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3106320984 and 3106321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3106321027) by changing a digit.

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, 3666 + ... + 78905.

It is an arithmetic number, because the mean of its divisors is an integer number (75140520).

Almost surely, 23106321020 is an apocalyptic number.

3106321020 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 3106321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410117440).

3106321020 is an abundant number, since it is smaller than the sum of its proper divisors (7713913860).

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

3106321020 is a wasteful number, since it uses less digits than its factorization.

3106321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82616 (or 82611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3106321020 is about 55734.3791568543. The cubic root of 3106321020 is about 1459.0901036000.

Adding to 3106321020 its reverse (201236013), we get a palindrome (3307557033).

The spelling of 3106321020 in words is "three billion, one hundred six million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 82571 165142 247713 330284 412855 495426 743139 825710 908281 990852 1238565 1486278 1568849 1651420 1816562 2477130 2724843 2972556 3137698 3633124 3715695 4541405 4706547 4954260 5449686 6275396 7431390 7844245 8174529 9082810 9413094 10899372 13624215 14119641 14862780 15688490 16349058 17257339 18165620 18826188 23532735 27248430 28239282 31376980 32698116 34514678 40872645 47065470 51772017 54496860 56478564 69029356 70598205 81745290 86286695 94130940 103544034 141196410 155316051 163490580 172573390 207088068 258860085 282392820 310632102 345146780 517720170 621264204 776580255 1035440340 1553160510 3106321020