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210011130100 = 225223391723311
BaseRepresentation
bin1100001110010110100…
…0111000100011110100
3202002002000222210020201
43003211220320203310
511420100322130400
6240251111210244
721113162103142
oct3034550704364
9662060883221
10210011130100
1181079898442
1234850376984
1316a5b4056b5
14a243900592
1556e22d006a
hex30e5a388f4

210011130100 has 72 divisors (see below), whose sum is σ = 475680054528. Its totient is φ = 80328124800.

The previous prime is 210011130089. The next prime is 210011130107. The reversal of 210011130100 is 1031110012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011130107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8997445 + ... + 9020755.

It is an arithmetic number, because the mean of its divisors is an integer number (6606667424).

Almost surely, 2210011130100 is an apocalyptic number.

210011130100 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 210011130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237840027264).

210011130100 is an abundant number, since it is smaller than the sum of its proper divisors (265668924428).

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

210011130100 is a wasteful number, since it uses less digits than its factorization.

210011130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27265 (or 27258 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 210011130100 its reverse (1031110012), we get a palindrome (211042240112).

The spelling of 210011130100 in words is "two hundred ten billion, eleven million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 3917 7834 15668 19585 23311 39170 46622 78340 90091 93244 97925 116555 180182 195850 233110 360364 391700 450455 466220 536153 582775 900910 1072306 1165550 1801820 2144612 2252275 2331100 2680765 4504550 5361530 9009100 10723060 13403825 26807650 53615300 91309187 182618374 365236748 456545935 913091870 1826183740 2100111301 2282729675 4200222602 4565459350 8400445204 9130918700 10500556505 21001113010 42002226020 52502782525 105005565050 210011130100