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203103001100 = 225237233235591
BaseRepresentation
bin1011110100100111100…
…0011101101000001100
3201102020121010110210002
42331021320131220030
511311423332013400
6233145414103432
720450040011306
oct2751170355014
9642217113702
10203103001100
117915439291a
123344294ab78
13161ca1581bc
149b8a25a976
15543aab1ed5
hex2f49e1da0c

203103001100 has 72 divisors (see below), whose sum is σ = 454589841888. Its totient is φ = 78705907200.

The previous prime is 203103001081. The next prime is 203103001117. The reversal of 203103001100 is 1100301302.

203103001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 744305 + ... + 979895.

It is an arithmetic number, because the mean of its divisors is an integer number (6313747804).

Almost surely, 2203103001100 is an apocalyptic number.

203103001100 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 203103001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227294920944).

203103001100 is an abundant number, since it is smaller than the sum of its proper divisors (251486840788).

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

203103001100 is a wasteful number, since it uses less digits than its factorization.

203103001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235875 (or 235868 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 203103001100 its reverse (1100301302), we get a palindrome (204203302402).

The spelling of 203103001100 in words is "two hundred three billion, one hundred three million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 233 370 466 740 925 932 1165 1850 2330 3700 4660 5825 8621 11650 17242 23300 34484 43105 86210 172420 215525 235591 431050 471182 862100 942364 1177955 2355910 4711820 5889775 8716867 11779550 17433734 23559100 34867468 43584335 54892703 87168670 109785406 174337340 217921675 219570812 274463515 435843350 548927030 871686700 1097854060 1372317575 2031030011 2744635150 4062060022 5489270300 8124120044 10155150055 20310300110 40620600220 50775750275 101551500550 203103001100