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21111222100 = 22521638111597
BaseRepresentation
bin10011101010010100…
…111010111101010100
32000111021111012101211
4103222110322331110
5321213433101400
613410502431204
71345104266323
oct235224727524
960437435354
1021111222100
118a538096a1
124112132504
131cb59874c7
141043b060ba
158385bbdba
hex4ea53af54

21111222100 has 72 divisors (see below), whose sum is σ = 46178134688. Its totient is φ = 8377084800.

The previous prime is 21111222091. The next prime is 21111222113. The reversal of 21111222100 is 122211112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13218502 + ... + 13220098.

Almost surely, 221111222100 is an apocalyptic number.

21111222100 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 21111222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23089067344).

21111222100 is an abundant number, since it is smaller than the sum of its proper divisors (25066912588).

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

21111222100 is a wasteful number, since it uses less digits than its factorization.

21111222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2578 counting only the distinct ones).

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

Adding to 21111222100 its reverse (122211112), we get a palindrome (21233433212).

The spelling of 21111222100 in words is "twenty-one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 811 815 1597 1622 1630 3194 3244 3260 4055 4075 6388 7985 8110 8150 15970 16220 16300 20275 31940 39925 40550 79850 81100 132193 159700 260311 264386 520622 528772 660965 1041244 1295167 1301555 1321930 2590334 2603110 2643860 3304825 5180668 5206220 6475835 6507775 6609650 12951670 13015550 13219300 25903340 26031100 32379175 64758350 129516700 211112221 422224442 844448884 1055561105 2111122210 4222244420 5277805525 10555611050 21111222100