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3120201322020 = 22325371663281719
BaseRepresentation
bin101101011001111010011…
…111011100111000100100
3102001021210012021002211200
4231121322133130320210
5402110133014301040
610345222315002500
7441266332431126
oct55317237347044
912037705232750
103120201322020
11aa32a7337032
12424871139430
13198306645213
14ab038c87216
155626c215630
hex2d67a7dce24

3120201322020 has 144 divisors (see below), whose sum is σ = 9726290595840. Its totient is φ = 809076066048.

The previous prime is 3120201321967. The next prime is 3120201322061. The reversal of 3120201322020 is 202231020213.

3120201322020 is a `hidden beast` number, since 3 + 120 + 201 + 322 + 0 + 20 = 666.

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 = 3120201321984 and 3120201322002.

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, 10934721 + ... + 11216439.

Almost surely, 23120201322020 is an apocalyptic number.

3120201322020 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 3120201322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863145297920).

3120201322020 is an abundant number, since it is smaller than the sum of its proper divisors (6606089273820).

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

3120201322020 is a wasteful number, since it uses less digits than its factorization.

3120201322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283434 (or 283429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3120201322020 its reverse (202231020213), we get a palindrome (3322432342233).

The spelling of 3120201322020 in words is "three trillion, one hundred twenty billion, two hundred one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1663 1665 2220 3326 3330 4989 6652 6660 8315 9978 14967 16630 19956 24945 29934 33260 49890 59868 61531 74835 99780 123062 149670 184593 246124 281719 299340 307655 369186 553779 563438 615310 738372 845157 922965 1107558 1126876 1230620 1408595 1690314 1845930 2215116 2535471 2768895 2817190 3380628 3691860 4225785 5070942 5537790 5634380 8451570 10141884 10423603 11075580 12677355 16903140 20847206 25354710 31270809 41694412 50709420 52118015 62541618 93812427 104236030 125083236 156354045 187624854 208472060 312708090 375249708 468498697 469062135 625416180 936997394 938124270 1405496091 1873994788 1876248540 2342493485 2810992182 4216488273 4684986970 5621984364 7027480455 8432976546 9369973940 14054960910 16865953092 17334451789 21082441365 28109921820 34668903578 42164882730 52003355367 69337807156 84329765460 86672258945 104006710734 156010066101 173344517890 208013421468 260016776835 312020132202 346689035780 520033553670 624040264404 780050330505 1040067107340 1560100661010 3120201322020