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22101221100 = 22352737614663
BaseRepresentation
bin10100100101010101…
…011101111011101100
32010001021100100201110
4110211111131323230
5330230403033400
614053025512020
71411455164640
oct244525357354
963037310643
1022101221100
119411621592
1243497a2610
132112b0252a
1410d93acc20
15895474e50
hex52555deec

22101221100 has 288 divisors, whose sum is σ = 76303338496. Its totient is φ = 4833561600.

The previous prime is 22101221099. The next prime is 22101221119. The reversal of 22101221100 is 112210122.

It is a super-2 number, since 2×221012211002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4737369 + ... + 4742031.

Almost surely, 222101221100 is an apocalyptic number.

22101221100 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 22101221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151669248).

22101221100 is an abundant number, since it is smaller than the sum of its proper divisors (54202117396).

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

22101221100 is a wasteful number, since it uses less digits than its factorization.

22101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22101221100 its reverse (112210122), we get a palindrome (22213431222).

The spelling of 22101221100 in words is "twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred".