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203121312121100 = 22523116811195891
BaseRepresentation
bin101110001011110011011101…
…101001111100000100001100
3222122012012121111001121021202
4232023303131221330010030
5203110414421400333400
62000000350444445032
760533013316510142
oct5613633551740414
9878165544047252
10203121312121100
11597a22a037014a
121a946330549778
138945346a96259
1438231a421b592
1518739b8a704d5
hexb8bcdda7c10c

203121312121100 has 72 divisors (see below), whose sum is σ = 442201628284416. Its totient is φ = 80985241960000.

The previous prime is 203121312121051. The next prime is 203121312121103. The reversal of 203121312121100 is 1121213121302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (203121312121103) 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, 2118204155 + ... + 2118300045.

It is an arithmetic number, because the mean of its divisors is an integer number (6141689281728).

Almost surely, 2203121312121100 is an apocalyptic number.

203121312121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203121312121100 is an abundant number, since it is smaller than the sum of its proper divisors (239080316163316).

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

203121312121100 is a wasteful number, since it uses less digits than its factorization.

203121312121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164327 (or 164320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 203121312121100 its reverse (1121213121302), we get a palindrome (204242525242402).

The spelling of 203121312121100 in words is "two hundred three trillion, one hundred twenty-one billion, three hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 311 622 1244 1555 3110 6220 7775 15550 31100 68111 95891 136222 191782 272444 340555 383564 479455 681110 958910 1362220 1702775 1917820 2397275 3405550 4794550 6811100 9589100 21182521 29822101 42365042 59644202 84730084 105912605 119288404 149110505 211825210 298221010 423650420 529563025 596442020 745552525 1059126050 1491105050 2118252100 2982210100 6531231901 13062463802 26124927604 32656159505 65312319010 130624638020 163280797525 326561595050 653123190100 2031213121211 4062426242422 8124852484844 10156065606055 20312131212110 40624262424220 50780328030275 101560656060550 203121312121100