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210201220120020 = 2235191427129213059
BaseRepresentation
bin101111110010110101001001…
…000011100111110111010100
31000120021001002110000111220120
4233302311021003213313110
5210022414044322320040
62023021035112031540
762163352121533263
oct5762651103476724
91016231073014816
10210201220120020
1160a81922906818
121b6aa4a33925b0
139039b7545397c
1439c9b16cc05da
151947c396187d0
hexbf2d490e7dd4

210201220120020 has 96 divisors (see below), whose sum is σ = 619974598924800. Its totient is φ = 53066252363904.

The previous prime is 210201220119937. The next prime is 210201220120043. The reversal of 210201220120020 is 20021022102012.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 62979750 + ... + 66233309.

It is an arithmetic number, because the mean of its divisors is an integer number (6458068738800).

Almost surely, 2210201220120020 is an apocalyptic number.

210201220120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201220120020 is an abundant number, since it is smaller than the sum of its proper divisors (409773378804780).

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

210201220120020 is a wasteful number, since it uses less digits than its factorization.

210201220120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129214517 (or 129214515 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210201220120020 its reverse (20021022102012), we get a palindrome (230222242222032).

The spelling of 210201220120020 in words is "two hundred ten trillion, two hundred one billion, two hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1427 2854 4281 5708 7135 8562 14270 17124 21405 27113 28540 42810 54226 81339 85620 108452 135565 162678 271130 325356 406695 542260 813390 1626780 129213059 258426118 387639177 516852236 646065295 775278354 1292130590 1550556708 1938195885 2455048121 2584261180 3876391770 4910096242 7365144363 7752783540 9820192484 12275240605 14730288726 24550481210 29460577452 36825721815 49100962420 73651443630 147302887260 184387035193 368774070386 553161105579 737548140772 921935175965 1106322211158 1843870351930 2212644422316 2765805527895 3503353668667 3687740703860 5531611055790 7006707337334 10510061006001 11063222111580 14013414674668 17516768343335 21020122012002 35033536686670 42040244024004 52550305030005 70067073373340 105100610060010 210201220120020