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20112033100 = 2252438952553
BaseRepresentation
bin10010101110110001…
…010100010101001100
31220220122100010202211
4102232301110111030
5312142140024400
613123410400204
71311252314005
oct225661242514
956818303684
1020112033100
11859079a165
123a93590064
131b86972503
14d8b12a1ac
157ca9eadba
hex4aec5454c

20112033100 has 72 divisors (see below), whose sum is σ = 45160703280. Its totient is φ = 7769287680.

The previous prime is 20112033089. The next prime is 20112033127. The reversal of 20112033100 is 133021102.

It is a super-3 number, since 3×201120331003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356424 + ... + 408976.

It is an arithmetic number, because the mean of its divisors is an integer number (627231990).

Almost surely, 220112033100 is an apocalyptic number.

20112033100 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 20112033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580351640).

20112033100 is an abundant number, since it is smaller than the sum of its proper divisors (25048670180).

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

20112033100 is a wasteful number, since it uses less digits than its factorization.

20112033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52699 (or 52692 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20112033100 its reverse (133021102), we get a palindrome (20245054202).

The spelling of 20112033100 in words is "twenty billion, one hundred twelve million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 89 100 172 178 215 356 430 445 860 890 1075 1780 2150 2225 3827 4300 4450 7654 8900 15308 19135 38270 52553 76540 95675 105106 191350 210212 262765 382700 525530 1051060 1313825 2259779 2627650 4519558 4677217 5255300 9039116 9354434 11298895 18708868 22597790 23386085 45195580 46772170 56494475 93544340 112988950 116930425 201120331 225977900 233860850 402240662 467721700 804481324 1005601655 2011203310 4022406620 5028008275 10056016550 20112033100