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21222220100 = 22521912394649
BaseRepresentation
bin10011110000111100…
…010110000101000100
32000210000100111000212
4103300330112011010
5321430342020400
613425505454552
71350622615544
oct236074260504
960700314025
1021222220100
119000432084
124143341458
13200297bbb3
14105475b324
158431e5335
hex4f0f16144

21222220100 has 72 divisors (see below), whose sum is σ = 46497024000. Its totient is φ = 8407302400.

The previous prime is 21222220099. The next prime is 21222220109. The reversal of 21222220100 is 102222212.

It is not an unprimeable number, because it can be changed into a prime (21222220109) 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, 4562576 + ... + 4567224.

It is an arithmetic number, because the mean of its divisors is an integer number (645792000).

Almost surely, 221222220100 is an apocalyptic number.

21222220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512000).

21222220100 is an abundant number, since it is smaller than the sum of its proper divisors (25274803900).

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

21222220100 is a wasteful number, since it uses less digits than its factorization.

21222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5086 counting only the distinct ones).

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

Adding to 21222220100 its reverse (102222212), we get a palindrome (21324442312).

It can be divided in two parts, 2122 and 2220100, that added together give a palindrome (2222222).

The spelling of 21222220100 in words is "twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 239 382 478 764 955 956 1195 1910 2390 3820 4649 4775 4780 5975 9298 9550 11950 18596 19100 23245 23900 45649 46490 91298 92980 116225 182596 228245 232450 456490 464900 887959 912980 1111111 1141225 1775918 2222222 2282450 3551836 4439795 4444444 4564900 5555555 8879590 11111110 17759180 22198975 22222220 27777775 44397950 55555550 88795900 111111100 212222201 424444402 848888804 1061111005 2122222010 4244444020 5305555025 10611110050 21222220100