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20011022100 = 223252199111731
BaseRepresentation
bin10010101000101111…
…111111011100010100
31220122121021020201200
4102220233333130110
5311440310201400
613105401352500
71305614611206
oct225057773424
956577236650
1020011022100
1185397780a3
123a65798730
131b6ba667a4
14d7b954776
157c1be6b00
hex4a8bff714

20011022100 has 108 divisors (see below), whose sum is σ = 63039194400. Its totient is φ = 5309409600.

The previous prime is 20011022093. The next prime is 20011022107. The reversal of 20011022100 is 122011002.

It is an interprime number because it is at equal distance from previous prime (20011022093) and next prime (20011022107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011022107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123235 + ... + 234965.

Almost surely, 220011022100 is an apocalyptic number.

20011022100 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 20011022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31519597200).

20011022100 is an abundant number, since it is smaller than the sum of its proper divisors (43028172300).

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

20011022100 is a wasteful number, since it uses less digits than its factorization.

20011022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111950 (or 111940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20011022100 its reverse (122011002), we get a palindrome (20133033102).

The spelling of 20011022100 in words is "twenty billion, eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 199 225 300 398 450 597 796 900 995 1194 1791 1990 2388 2985 3582 3980 4975 5970 7164 8955 9950 11940 14925 17910 19900 29850 35820 44775 59700 89550 111731 179100 223462 335193 446924 558655 670386 1005579 1117310 1340772 1675965 2011158 2234620 2793275 3351930 4022316 5027895 5586550 6703860 8379825 10055790 11173100 16759650 20111580 22234469 25139475 33519300 44468938 50278950 66703407 88937876 100557900 111172345 133406814 200110221 222344690 266813628 333517035 400220442 444689380 555861725 667034070 800440884 1000551105 1111723450 1334068140 1667585175 2001102210 2223446900 3335170350 4002204420 5002755525 6670340700 10005511050 20011022100