Search a number
-
+
100010221100220 = 223519102185923863
BaseRepresentation
bin10110101111010101110001…
…101100111101110010111100
3111010002212212021010012220010
4112233111301230331302330
5101102031413100201340
6552412021124223220
730031333340102244
oct2657256154756274
9433085767105803
10100010221100220
1129959107606042
12b27279883ab10
1343a5c00897842
141a9a74048ab24
15b86766ca3b80
hex5af571b3dcbc

100010221100220 has 96 divisors (see below), whose sum is σ = 295055675066880. Its totient is φ = 25240993701120.

The previous prime is 100010221100173. The next prime is 100010221100227. The reversal of 100010221100220 is 22001122010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100010221100196 and 100010221100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010221100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41797992 + ... + 44125871.

It is an arithmetic number, because the mean of its divisors is an integer number (3073496615280).

Almost surely, 2100010221100220 is an apocalyptic number.

100010221100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010221100220 is an abundant number, since it is smaller than the sum of its proper divisors (195045453966660).

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

100010221100220 is a wasteful number, since it uses less digits than its factorization.

100010221100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85924915 (or 85924913 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100010221100220 its reverse (22001122010001), we get a palindrome (122011343110221).

The spelling of 100010221100220 in words is "one hundred trillion, ten billion, two hundred twenty-one million, one hundred thousand, two hundred 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 1021 1140 2042 3063 4084 5105 6126 10210 12252 15315 19399 20420 30630 38798 58197 61260 77596 96995 116394 193990 232788 290985 387980 581970 1163940 85923863 171847726 257771589 343695452 429619315 515543178 859238630 1031086356 1288857945 1632553397 1718477260 2577715890 3265106794 4897660191 5155431780 6530213588 8162766985 9795320382 16325533970 19590640764 24488300955 32651067940 48976601910 87728264123 97953203820 175456528246 263184792369 350913056492 438641320615 526369584738 877282641230 1052739169476 1315923961845 1666837018337 1754565282460 2631847923690 3333674036674 5000511055011 5263695847380 6667348073348 8334185091685 10001022110022 16668370183370 20002044220044 25002555275055 33336740366740 50005110550110 100010221100220