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21222010210100 = 22527191158728573
BaseRepresentation
bin1001101001101001000100…
…11000010100011100110100
32210010210201101021010201212
410310310202120110130310
510240200134103210400
6113045131253540552
74320145124306450
oct464644230243464
983123641233655
1021222010210100
116842227563807
122468b74344758
13bac2c4886aab
14535217a23660
1526c07701a335
hex134d22614734

21222010210100 has 72 divisors (see below), whose sum is σ = 52906138457088. Its totient is φ = 7238022883200.

The previous prime is 21222010210021. The next prime is 21222010210127. The reversal of 21222010210100 is 101201022212.

It is a super-2 number, since 2×212220102101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79230587 + ... + 79497986.

Almost surely, 221222010210100 is an apocalyptic number.

21222010210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222010210100 is an abundant number, since it is smaller than the sum of its proper divisors (31684128246988).

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

21222010210100 is a wasteful number, since it uses less digits than its factorization.

21222010210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158728785 (or 158728778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21222010210100 its reverse (101201022212), we get a palindrome (21323211232312).

The spelling of 21222010210100 in words is "twenty-one trillion, two hundred twenty-two billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 191 350 382 700 764 955 1337 1910 2674 3820 4775 5348 6685 9550 13370 19100 26740 33425 66850 133700 158728573 317457146 634914292 793642865 1111100011 1587285730 2222200022 3174571460 3968214325 4444400044 5555500055 7936428650 11111000110 15872857300 22222000220 27777500275 30317157443 55555000550 60634314886 111110001100 121268629772 151585787215 212220102101 303171574430 424440204202 606343148860 757928936075 848880408404 1061100510505 1515857872150 2122201021010 3031715744300 4244402042020 5305502552525 10611005105050 21222010210100