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20100202200221 = 11131929367337517
BaseRepresentation
bin1001001000111111100010…
…11010010111110010011101
32122011120010122120200110112
410210133301122113302131
510113310203230401341
6110425523323015405
74143122514460253
oct444376132276235
978146118520415
1020100202200221
11644a4a2149160
12230767906a565
13b2a59696b080
144d6bd80b45d3
1524ccbbc11aeb
hex1247f1697c9d

20100202200221 has 64 divisors (see below), whose sum is σ = 24979640474880. Its totient is φ = 15900925501440.

The previous prime is 20100202200217. The next prime is 20100202200223. The reversal of 20100202200221 is 12200220200102.

It is a cyclic number.

It is not a de Polignac number, because 20100202200221 - 22 = 20100202200217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100202200196 and 20100202200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100202200223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535743755 + ... + 535781271.

It is an arithmetic number, because the mean of its divisors is an integer number (390306882420).

Almost surely, 220100202200221 is an apocalyptic number.

It is an amenable number.

20100202200221 is a deficient number, since it is larger than the sum of its proper divisors (4879438274659).

20100202200221 is a wasteful number, since it uses less digits than its factorization.

20100202200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38526.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20100202200221 its reverse (12200220200102), we get a palindrome (32300422400323).

The spelling of 20100202200221 in words is "twenty trillion, one hundred billion, two hundred two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 11 13 19 143 209 247 293 673 2717 3223 3809 5567 7403 8749 12787 37517 41899 61237 72371 96239 140657 166231 197189 412687 487721 712823 796081 1828541 2169079 2563457 3746591 5364931 7841053 9266699 10992481 25248941 28198027 41212501 48705683 101933689 120917291 142902253 208857139 277738351 328236233 479729879 535762513 1571924783 2297428529 2715142807 3610598563 5277028669 6236488427 7397939713 29866570877 68601372697 81377336843 96173216269 140560854547 1057905378959 1546169400017 1827291109111 20100202200221