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3121330003020 = 22325472749134213
BaseRepresentation
bin101101011010111101110…
…001000001110001001100
3102001101200212002001002200
4231122331301001301030
5402114440440044040
610345530314321500
7441336316160235
oct55327561016114
912041625061080
103121330003020
11aa3826460849
12424b27129290
131984564286b8
14ab104b3008c
15562d6364630
hex2d6bdc41c4c

3121330003020 has 144 divisors (see below), whose sum is σ = 9673071408000. Its totient is φ = 814342583808.

The previous prime is 3121330003019. The next prime is 3121330003069. The reversal of 3121330003020 is 203000331213.

3121330003020 is a `hidden beast` number, since 31 + 2 + 1 + 330 + 0 + 0 + 302 + 0 = 666.

3121330003020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3121330002984 and 3121330003002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23189434 + ... + 23323646.

It is an arithmetic number, because the mean of its divisors is an integer number (67174107000).

Almost surely, 23121330003020 is an apocalyptic number.

3121330003020 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 3121330003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836535704000).

3121330003020 is an abundant number, since it is smaller than the sum of its proper divisors (6551741404980).

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

3121330003020 is a wasteful number, since it uses less digits than its factorization.

3121330003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137024 (or 137019 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3121330003020 its reverse (203000331213), we get a palindrome (3324330334233).

The spelling of 3121330003020 in words is "three trillion, one hundred twenty-one billion, three hundred thirty million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2749 2820 4230 5498 8247 8460 10996 13745 16494 24741 27490 32988 41235 49482 54980 82470 98964 123705 129203 134213 164940 247410 258406 268426 387609 402639 494820 516812 536852 646015 671065 775218 805278 1162827 1207917 1292030 1342130 1550436 1610556 1938045 2013195 2325654 2415834 2584060 2684260 3876090 4026390 4651308 4831668 5814135 6039585 6308011 7752180 8052780 11628270 12079170 12616022 18924033 23256540 24158340 25232044 31540055 37848066 56772099 63080110 75696132 94620165 113544198 126160220 189240330 227088396 283860495 368951537 378480660 567720990 737903074 1106854611 1135441980 1475806148 1844757685 2213709222 3320563833 3689515370 4427418444 5534273055 6641127666 7379030740 11068546110 13282255332 16602819165 17340722239 22137092220 33205638330 34681444478 52022166717 66411276660 69362888956 86703611195 104044333434 156066500151 173407222390 208088666868 260110833585 312133000302 346814444780 520221667170 624266000604 780332500755 1040443334340 1560665001510 3121330003020