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203133332320 = 25541139222773
BaseRepresentation
bin1011110100101110110…
…0001010101101100000
3201102022201012110101121
42331023230022231200
511312004113113240
6233152420142024
720450555556442
oct2751354125540
9642281173347
10203133332320
117916a51a146
1233450b37914
1316203517b79
149b902b4492
15543d5a404a
hex2f4bb0ab60

203133332320 has 96 divisors (see below), whose sum is σ = 495146403360. Its totient is φ = 78700892160.

The previous prime is 203133332293. The next prime is 203133332329. The reversal of 203133332320 is 23233331302.

203133332320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203133332329) 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 15 ways as a sum of consecutive naturals, for example, 800454 + ... + 1023226.

It is an arithmetic number, because the mean of its divisors is an integer number (5157775035).

Almost surely, 2203133332320 is an apocalyptic number.

203133332320 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 203133332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247573201680).

203133332320 is an abundant number, since it is smaller than the sum of its proper divisors (292013071040).

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

203133332320 is a wasteful number, since it uses less digits than its factorization.

203133332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222968 (or 222960 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 203133332320 its reverse (23233331302), we get a palindrome (226366663622).

The spelling of 203133332320 in words is "two hundred three billion, one hundred thirty-three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 139 160 164 205 278 328 410 556 656 695 820 1112 1312 1390 1640 2224 2780 3280 4448 5560 5699 6560 11120 11398 22240 22796 28495 45592 56990 91184 113980 182368 222773 227960 445546 455920 891092 911840 1113865 1782184 2227730 3564368 4455460 7128736 8910920 9133693 17821840 18267386 30965447 35643680 36534772 45668465 61930894 73069544 91336930 123861788 146139088 154827235 182673860 247723576 292278176 309654470 365347720 495447152 619308940 730695440 990894304 1238617880 1269583327 1461390880 2477235760 2539166654 4954471520 5078333308 6347916635 10156666616 12695833270 20313333232 25391666540 40626666464 50783333080 101566666160 203133332320