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20133131331220 = 22523432234564363
BaseRepresentation
bin1001001001111100111000…
…01001000010011010010100
32122021201010112112212011221
410210332130021002122110
510114330123110044340
6110453011032340124
74145366522455525
oct444763411023224
978251115485157
1020133131331220
11646245a848706
122311b28b44644
13b30713b3347b
144d863d55884c
1524da97a8144a
hex124f9c242694

20133131331220 has 96 divisors (see below), whose sum is σ = 45346262556672. Its totient is φ = 7490227586688.

The previous prime is 20133131331127. The next prime is 20133131331241. The reversal of 20133131331220 is 2213313133102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128759 + ... + 6693121.

It is an arithmetic number, because the mean of its divisors is an integer number (472356901632).

Almost surely, 220133131331220 is an apocalyptic number.

20133131331220 is a gapful number since it is divisible by the number (20) 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 20133131331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22673131278336).

20133131331220 is an abundant number, since it is smaller than the sum of its proper divisors (25213131225452).

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

20133131331220 is a wasteful number, since it uses less digits than its factorization.

20133131331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564661 (or 4564659 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 20133131331220 its reverse (2213313133102), we get a palindrome (22346444464322).

The spelling of 20133131331220 in words is "twenty trillion, one hundred thirty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 223 230 430 446 460 860 892 989 1115 1978 2230 3956 4460 4945 5129 9589 9890 10258 19178 19780 20516 25645 38356 47945 51290 95890 102580 191780 220547 441094 882188 1102735 2205470 4410940 4564363 9128726 18257452 22821815 45643630 91287260 104980349 196267609 209960698 392535218 419921396 524901745 785070436 981338045 1017852949 1049803490 1962676090 2035705898 2099606980 3925352180 4071411796 4514155007 5089264745 9028310014 10178529490 18056620028 20357058980 22570775035 23410617827 43767676807 45141550070 46821235654 87535353614 90283100140 93642471308 117053089135 175070707228 218838384035 234106178270 437676768070 468212356540 875353536140 1006656566561 2013313133122 4026626266244 5033282832805 10066565665610 20133131331220