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203212433120 = 2552979554377
BaseRepresentation
bin1011110101000001100…
…1111010011011100000
3201102112020001012021212
42331100121322123200
511312134340324440
6233204323405252
720452536116144
oct2752031723340
9642466035255
10203212433120
1179200136804
1233473523828
1316216a21b88
149b9a9c5224
1554454cb465
hex2f5067a6e0

203212433120 has 96 divisors (see below), whose sum is σ = 502931721600. Its totient is φ = 77488459776.

The previous prime is 203212433113. The next prime is 203212433131. The reversal of 203212433120 is 21334212302.

203212433120 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 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 15 ways as a sum of consecutive naturals, for example, 89372 + ... + 643748.

It is an arithmetic number, because the mean of its divisors is an integer number (5238872100).

Almost surely, 2203212433120 is an apocalyptic number.

203212433120 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 203212433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251465860800).

203212433120 is an abundant number, since it is smaller than the sum of its proper divisors (299719288480).

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

203212433120 is a wasteful number, since it uses less digits than its factorization.

203212433120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554500 (or 554492 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 203212433120 its reverse (21334212302), we get a palindrome (224546645422).

The spelling of 203212433120 in words is "two hundred three billion, two hundred twelve million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 79 80 116 145 158 160 232 290 316 395 464 580 632 790 928 1160 1264 1580 2291 2320 2528 3160 4582 4640 6320 9164 11455 12640 18328 22910 36656 45820 73312 91640 183280 366560 554377 1108754 2217508 2771885 4435016 5543770 8870032 11087540 16076933 17740064 22175080 32153866 43795783 44350160 64307732 80384665 87591566 88700320 128615464 160769330 175183132 218978915 257230928 321538660 350366264 437957830 514461856 643077320 700732528 875915660 1270077707 1286154640 1401465056 1751831320 2540155414 2572309280 3503662640 5080310828 6350388535 7007325280 10160621656 12700777070 20321243312 25401554140 40642486624 50803108280 101606216560 203212433120