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21220101112 = 237317344701
BaseRepresentation
bin10011110000110100…
…010000101111111000
32000202212100211022211
4103300310100233320
5321424321213422
613425352224504
71350565612000
oct236064205770
960685324284
1021220101112
118aaa215051
12414269b134
1320023b9562
141054369000
15842e27577
hex4f0d10bf8

21220101112 has 64 divisors (see below), whose sum is σ = 46668888000. Its totient is φ = 9041558400.

The previous prime is 21220101043. The next prime is 21220101137. The reversal of 21220101112 is 21110102212.

It is a junction number, because it is equal to n+sod(n) for n = 21220101092 and 21220101101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452362 + ... + 497062.

It is an arithmetic number, because the mean of its divisors is an integer number (729201375).

Almost surely, 221220101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23334444000).

21220101112 is an abundant number, since it is smaller than the sum of its proper divisors (25448786888).

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

21220101112 is a wasteful number, since it uses less digits than its factorization.

21220101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44901 (or 44883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21220101112 its reverse (21110102212), we get a palindrome (42330203324).

The spelling of 21220101112 in words is "twenty-one billion, two hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 173 196 343 346 392 686 692 1211 1372 1384 2422 2744 4844 8477 9688 16954 33908 44701 59339 67816 89402 118678 178804 237356 312907 357608 474712 625814 1251628 2190349 2503256 4380698 7733273 8761396 15332443 15466546 17522792 30664886 30933092 54132911 61329772 61866184 108265822 122659544 216531644 378930377 433063288 757860754 1515721508 2652512639 3031443016 5305025278 10610050556 21220101112