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21220100000 = 255511101191
BaseRepresentation
bin10011110000110100…
…010000011110100000
32000202212100202210122
4103300310100132200
5321424321200000
613425352215412
71350565605521
oct236064203640
960685322718
1021220100000
118aaa214230
12414269a568
1320023b8bb8
141054368848
15842e27085
hex4f0d107a0

21220100000 has 288 divisors, whose sum is σ = 57830298624. Its totient is φ = 7600000000.

The previous prime is 21220099991. The next prime is 21220100021. The reversal of 21220100000 is 102212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111099905 + ... + 111100095.

It is an arithmetic number, because the mean of its divisors is an integer number (200799648).

Almost surely, 221220100000 is an apocalyptic number.

21220100000 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 21220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28915149312).

21220100000 is an abundant number, since it is smaller than the sum of its proper divisors (36610198624).

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

21220100000 is a wasteful number, since it uses less digits than its factorization.

21220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 21220100000 its reverse (102212), we get a palindrome (21220202212).

The spelling of 21220100000 in words is "twenty-one billion, two hundred twenty million, one hundred thousand".