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203031321300 = 2232521713270021
BaseRepresentation
bin1011110100010110011…
…1000001101011010100
3201102001121020202120200
42331011213001223110
511311302004240200
6233134333500500
720445206520303
oct2750547015324
9642047222520
10203031321300
1179117984815
1233422941730
13161b834bc12
149b8091c43a
155434653800
hex2f459c1ad4

203031321300 has 108 divisors (see below), whose sum is σ = 673825177116. Its totient is φ = 50956876800.

The previous prime is 203031321287. The next prime is 203031321329. The reversal of 203031321300 is 3123130302.

203031321300 is a `hidden beast` number, since 2 + 0 + 30 + 313 + 21 + 300 = 666.

203031321300 is digitally balanced in base 2, because in such base 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 12085044624 + 190946276676 = 109932^2 + 436974^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 6619711 + ... + 6650310.

Almost surely, 2203031321300 is an apocalyptic number.

203031321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203031321300 is an abundant number, since it is smaller than the sum of its proper divisors (470793855816).

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

203031321300 is a wasteful number, since it uses less digits than its factorization.

203031321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270058 (or 13270048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 203031321300 its reverse (3123130302), we get a palindrome (206154451602).

The spelling of 203031321300 in words is "two hundred three billion, thirty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 13270021 26540042 39810063 53080084 66350105 79620126 119430189 132700210 159240252 199050315 225590357 238860378 265400420 331750525 398100630 451180714 477720756 597150945 663501050 676771071 796201260 902361428 995251575 1127951785 1194301890 1327002100 1353542142 1990503150 2030313213 2255903570 2388603780 2707084284 2985754725 3383855355 3981006300 4060626426 4511807140 5639758925 5971509450 6767710710 8121252852 10151566065 11279517850 11943018900 13535421420 16919276775 20303132130 22559035700 33838553550 40606264260 50757830325 67677107100 101515660650 203031321300