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203310100132020 = 223257223051031761
BaseRepresentation
bin101110001110100011010010…
…010011000011000010110100
3222122212020220110000020012100
4232032203102103003002310
5203122013041113211040
62000223212015022100
760552445545231300
oct5616432223030264
9878766813006170
10203310100132020
1159865369271a72
121a976a3920a930
13895a0a229675b
14382c393208d00
151878867a2db30
hexb8e8d24c30b4

203310100132020 has 108 divisors (see below), whose sum is σ = 717394210496964. Its totient is φ = 46470880028160.

The previous prime is 203310100131997. The next prime is 203310100132159. The reversal of 203310100132020 is 20231001013302.

203310100132020 is a `hidden beast` number, since 2 + 0 + 3 + 310 + 10 + 0 + 1 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85270523513616 + 118039576618404 = 9234204^2 + 10864602^2 .

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 = 203310100131984 and 203310100132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11525507061 + ... + 11525524700.

It is an arithmetic number, because the mean of its divisors is an integer number (6642538986083).

Almost surely, 2203310100132020 is an apocalyptic number.

203310100132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203310100132020 is an abundant number, since it is smaller than the sum of its proper divisors (514084110364944).

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

203310100132020 is a wasteful number, since it uses less digits than its factorization.

203310100132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23051031790 (or 23051031778 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203310100132020 its reverse (20231001013302), we get a palindrome (223541101145322).

The spelling of 203310100132020 in words is "two hundred three trillion, three hundred ten billion, one hundred million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 23051031761 46102063522 69153095283 92204127044 115255158805 138306190566 161357222327 207459285849 230510317610 276612381132 322714444654 345765476415 414918571698 461020635220 484071666981 645428889308 691530952830 806786111635 829837143396 968143333962 1037296429245 1129500556289 1383061905660 1452215000943 1613572223270 1936286667924 2074592858490 2259001112578 2420358334905 2904430001886 3227144446540 3388501668867 4149185716980 4518002225156 4840716669810 5647502781445 5808860003772 6777003337734 7261075004715 9681433339620 10165505006601 11295005562890 13554006675468 14522150009430 16942508344335 20331010013202 22590011125780 29044300018860 33885016688670 40662020026404 50827525033005 67770033377340 101655050066010 203310100132020