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203231112120 = 233253715257591
BaseRepresentation
bin1011110101000110000…
…1001010101110111000
3201102120112012012001200
42331101201022232320
511312204131041440
6233210232014200
720453153643651
oct2752141125670
9642515165050
10203231112120
117920a7345a3
1233479831360
131621a861c3a
149b9d288528
155446e6ac30
hex2f5184abb8

203231112120 has 96 divisors (see below), whose sum is σ = 678352540320. Its totient is φ = 52730231040.

The previous prime is 203231112103. The next prime is 203231112163. The reversal of 203231112120 is 21211132302.

203231112120 is a `hidden beast` number, since 20 + 323 + 111 + 212 + 0 = 666.

203231112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 203231112093 and 203231112102.

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 23 ways as a sum of consecutive naturals, for example, 7615476 + ... + 7642115.

It is an arithmetic number, because the mean of its divisors is an integer number (7066172295).

Almost surely, 2203231112120 is an apocalyptic number.

203231112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203231112120 is an abundant number, since it is smaller than the sum of its proper divisors (475121428200).

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

203231112120 is a wasteful number, since it uses less digits than its factorization.

203231112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257645 (or 15257638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203231112120 its reverse (21211132302), we get a palindrome (224442244422).

The spelling of 203231112120 in words is "two hundred three billion, two hundred thirty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 15257591 30515182 45772773 61030364 76287955 91545546 122060728 137318319 152575910 183091092 228863865 274636638 305151820 366182184 457727730 549273276 564530867 610303640 686591595 915455460 1098546552 1129061734 1373183190 1693592601 1830910920 2258123468 2746366380 2822654335 3387185202 4516246936 5080777803 5492732760 5645308670 6774370404 8467963005 10161555606 11290617340 13548740808 16935926010 20323111212 22581234680 25403889015 33871852020 40646222424 50807778030 67743704040 101615556060 203231112120