Search a number
-
+
21222112100200 = 2352112876946781
BaseRepresentation
bin1001101001101001010000…
…11100111111111101101000
32210010210222110222200200021
410310310220130333331220
510240200341144201300
6113045145333450224
74320150502333234
oct464645034777550
983123873880607
1021222112100200
11684227a026300
122468ba24a0974
13bac30ca0c9ab
145352273875c4
1526c080e44d1a
hex134d2873ff68

21222112100200 has 72 divisors (see below), whose sum is σ = 54234773732790. Its totient is φ = 7717131664000.

The previous prime is 21222112100197. The next prime is 21222112100249. The reversal of 21222112100200 is 200121122212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12840311222244 + 8381800877956 = 3583338^2 + 2895134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 438449191 + ... + 438497590.

Almost surely, 221222112100200 is an apocalyptic number.

21222112100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222112100200 is an abundant number, since it is smaller than the sum of its proper divisors (33012661632590).

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

21222112100200 is a wasteful number, since it uses less digits than its factorization.

21222112100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876946819 (or 876946799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222112100200 its reverse (200121122212), we get a palindrome (21422233222412).

It can be divided in two parts, 21222112 and 100200, that added together give a palindrome (21322312).

The spelling of 21222112100200 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 876946781 1753893562 3507787124 4384733905 7015574248 8769467810 9646414591 17538935620 19292829182 21923669525 35077871240 38585658364 43847339050 48232072955 77171316728 87694678100 96464145910 106110560501 175389356200 192928291820 212221121002 241160364775 385856583640 424442242004 482320729550 530552802505 848884484008 964641459100 1061105605010 1929282918200 2122211210020 2652764012525 4244422420040 5305528025050 10611056050100 21222112100200