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203101212100 = 22524149536881
BaseRepresentation
bin1011110100100111000…
…1101000110111000100
3201102020110202120201211
42331021301220313010
511311422402241400
6233145311501204
720450015550463
oct2751161506704
9642213676654
10203101212100
1179153380806
1233442227804
13161c997cb17
149b89d129da
15543a85bdba
hex2f49c68dc4

203101212100 has 36 divisors (see below), whose sum is σ = 451479142548. Its totient is φ = 79259008000.

The previous prime is 203101212089. The next prime is 203101212103. The reversal of 203101212100 is 1212101302.

203101212100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 88700326276 + 114400885824 = 297826^2 + 338232^2 .

It is not an unprimeable number, because it can be changed into a prime (203101212103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24764341 + ... + 24772540.

It is an arithmetic number, because the mean of its divisors is an integer number (12541087293).

Almost surely, 2203101212100 is an apocalyptic number.

203101212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203101212100 is an abundant number, since it is smaller than the sum of its proper divisors (248377930448).

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

203101212100 is a wasteful number, since it uses less digits than its factorization.

203101212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49536936 (or 49536929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 203101212100 its reverse (1212101302), we get a palindrome (204313313402).

The spelling of 203101212100 in words is "two hundred three billion, one hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 49536881 99073762 198147524 247684405 495368810 990737620 1238422025 2031012121 2476844050 4062024242 4953688100 8124048484 10155060605 20310121210 40620242420 50775303025 101550606050 203101212100