Search a number
-
+
10032011303220 = 22325434912815221
BaseRepresentation
bin1001000111111100001001…
…1110000101100100110100
31022112001101010010221112100
42101333002132011210310
52303331024343200340
633200350430222100
72053534410053034
oct221770236054464
938461333127470
1010032011303220
113218608934a15
121160330354930
1357a02612476a
142697a27358c4
15125e50413830
hex91fc2785934

10032011303220 has 72 divisors (see below), whose sum is σ = 30437433772200. Its totient is φ = 2674587674880.

The previous prime is 10032011303207. The next prime is 10032011303227. The reversal of 10032011303220 is 2230311023001.

10032011303220 is a `hidden beast` number, since 10 + 0 + 3 + 201 + 130 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1146771123876 + 8885240179344 = 1070874^2 + 2980812^2 .

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 = 10032011303193 and 10032011303202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032011303227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5624791 + ... + 7190430.

It is an arithmetic number, because the mean of its divisors is an integer number (422742135725).

Almost surely, 210032011303220 is an apocalyptic number.

10032011303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032011303220 is an abundant number, since it is smaller than the sum of its proper divisors (20405422468980).

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

10032011303220 is a wasteful number, since it uses less digits than its factorization.

10032011303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819585 (or 12819580 counting only the distinct ones).

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

Adding to 10032011303220 its reverse (2230311023001), we get a palindrome (12262322326221).

The spelling of 10032011303220 in words is "ten trillion, thirty-two billion, eleven million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4349 8698 13047 17396 21745 26094 39141 43490 52188 65235 78282 86980 130470 156564 195705 260940 391410 782820 12815221 25630442 38445663 51260884 64076105 76891326 115336989 128152210 153782652 192228315 230673978 256304420 384456630 461347956 576684945 768913260 1153369890 2306739780 55733396129 111466792258 167200188387 222933584516 278666980645 334400376774 501600565161 557333961290 668800753548 836000941935 1003201130322 1114667922580 1672001883870 2006402260644 2508002825805 3344003767740 5016005651610 10032011303220