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21112211102220 = 223257193743554293
BaseRepresentation
bin1001100110011100100011…
…10101111101101000001100
32202202022022021212112112200
410303032101311331220030
510231400302020232340
6112522452122001500
74306210162300350
oct463162165755014
982668267775480
1021112211102220
1167aa702855947
12244b830946290
13ba1b46b97284
1452db9d3b5460
1526929c8a6330
hex133391d7da0c

21112211102220 has 576 divisors, whose sum is σ = 80963463060480. Its totient is φ = 4344655988736.

The previous prime is 21112211102123. The next prime is 21112211102243. The reversal of 21112211102220 is 2220111221112.

21112211102220 is a `hidden beast` number, since 2 + 111 + 221 + 110 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21112211102193 and 21112211102202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37811394 + ... + 38365686.

Almost surely, 221112211102220 is an apocalyptic number.

21112211102220 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 21112211102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40481731530240).

21112211102220 is an abundant number, since it is smaller than the sum of its proper divisors (59851251958260).

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

21112211102220 is a wasteful number, since it uses less digits than its factorization.

21112211102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554414 (or 554409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112211102220 its reverse (2220111221112), we get a palindrome (23332322323332).

The spelling of 21112211102220 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred twenty".