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20111102100 = 22325237603937
BaseRepresentation
bin10010101110101101…
…110001000010010100
31220220120120211200100
4102232231301002110
5312141420231400
613123334414100
71311241355505
oct225655610224
956816524610
1020111102100
118590213741
123a93201330
131b8670781b
14d8ad66bac
157ca8b5100
hex4aeb71094

20111102100 has 108 divisors (see below), whose sum is σ = 64740945724. Its totient is φ = 5218007040.

The previous prime is 20111102093. The next prime is 20111102111. The reversal of 20111102100 is 120111102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 811224324 + 19299877776 = 28482^2 + 138924^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268669 + ... + 335268.

Almost surely, 220111102100 is an apocalyptic number.

20111102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111102100 is an abundant number, since it is smaller than the sum of its proper divisors (44629843624).

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

20111102100 is a wasteful number, since it uses less digits than its factorization.

20111102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603994 (or 603984 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111102100 its reverse (120111102), we get a palindrome (20231213202).

The spelling of 20111102100 in words is "twenty billion, one hundred eleven million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 603937 1207874 1811811 2415748 3019685 3623622 5435433 6039370 7247244 9059055 10870866 12078740 15098425 18118110 21741732 22345669 27177165 30196850 36236220 44691338 45295275 54354330 60393700 67037007 89382676 90590550 108708660 111728345 134074014 135885825 181181100 201111021 223456690 268148028 271771650 335185035 402222042 446913380 543543300 558641725 670370070 804444084 1005555105 1117283450 1340740140 1675925175 2011110210 2234566900 3351850350 4022220420 5027775525 6703700700 10055551050 20111102100