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20312641213020 = 223251327132031793
BaseRepresentation
bin1001001111001011001111…
…10000111001001001011100
32122220212110220001200122200
410213211213300321021130
510130300242122304040
6111111255404211500
74164353120336562
oct447454760711134
978825426050580
1020312641213020
1165215a7462822
122340886539b90
13b44621072740
145031cc211a32
152535a2224630
hex127967c3925c

20312641213020 has 144 divisors (see below), whose sum is σ = 66599481067392. Its totient is φ = 4981584291840.

The previous prime is 20312641213001. The next prime is 20312641213037. The reversal of 20312641213020 is 2031214621302.

20312641213020 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 2 + 641 + 2 + 13 + 0 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15381757 + ... + 16650036.

Almost surely, 220312641213020 is an apocalyptic number.

20312641213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312641213020 is an abundant number, since it is smaller than the sum of its proper divisors (46286839854372).

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

20312641213020 is a wasteful number, since it uses less digits than its factorization.

20312641213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32032092 (or 32032087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20312641213020 its reverse (2031214621302), we get a palindrome (22343855834322).

The spelling of 20312641213020 in words is "twenty trillion, three hundred twelve billion, six hundred forty-one million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 271 390 468 542 585 780 813 1084 1170 1355 1626 2340 2439 2710 3252 3523 4065 4878 5420 7046 8130 9756 10569 12195 14092 16260 17615 21138 24390 31707 35230 42276 48780 52845 63414 70460 105690 126828 158535 211380 317070 634140 32031793 64063586 96095379 128127172 160158965 192190758 288286137 320317930 384381516 416413309 480476895 576572274 640635860 832826618 960953790 1153144548 1249239927 1441430685 1665653236 1921907580 2082066545 2498479854 2882861370 3747719781 4164133090 4996959708 5765722740 6246199635 7495439562 8328266180 8680615903 12492399270 14990879124 17361231806 18738598905 24984798540 26041847709 34722463612 37477197810 43403079515 52083695418 74954395620 78125543127 86806159030 104167390836 112848006739 130209238545 156251086254 173612318060 225696013478 260418477090 312502172508 338544020217 390627715635 451392026956 520836954180 564240033695 677088040434 781255431270 1015632060651 1128480067390 1354176080868 1562510862540 1692720101085 2031264121302 2256960134780 3385440202170 4062528242604 5078160303255 6770880404340 10156320606510 20312641213020