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21222121000 = 235321539857
BaseRepresentation
bin10011110000111011…
…111101111000101000
32000210000011110002111
4103300323331320220
5321430330333000
613425503412104
71350622023613
oct236073757050
960700143074
1021222121000
119000374683
1241432b4034
132002945a62
14105473317a
158431c5cba
hex4f0efde28

21222121000 has 64 divisors (see below), whose sum is σ = 49687868880. Its totient is φ = 8484044800.

The previous prime is 21222120989. The next prime is 21222121049. The reversal of 21222121000 is 12122212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 423289476 + 20798831524 = 20574^2 + 144218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148072 + ... + 2157928.

Almost surely, 221222121000 is an apocalyptic number.

21222121000 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 21222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24843934440).

21222121000 is an abundant number, since it is smaller than the sum of its proper divisors (28465747880).

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

21222121000 is a wasteful number, since it uses less digits than its factorization.

21222121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12031 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21222121000 its reverse (12122212), we get a palindrome (21234243212).

It can be divided in two parts, 2122212 and 1000, that added together give a palindrome (2123212).

The spelling of 21222121000 in words is "twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2153 4306 8612 9857 10765 17224 19714 21530 39428 43060 49285 53825 78856 86120 98570 107650 197140 215300 246425 269125 394280 430600 492850 538250 985700 1076500 1232125 1971400 2153000 2464250 4928500 9857000 21222121 42444242 84888484 106110605 169776968 212221210 424442420 530553025 848884840 1061106050 2122212100 2652765125 4244424200 5305530250 10611060500 21222121000