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203031213333120 = 2732535248474537
BaseRepresentation
bin101110001010011111100011…
…010110010101101010000000
3222121212121001100021221112100
4232022133203112111222000
5203102430411103124440
61555451130215030400
760523343510450034
oct5612374326255200
9877777040257470
10203031213333120
1159768065a061a7
121a93098666b400
1389399b8666063
14381ca981661c4
151871493bcd230
hexb8a7e3595a80

203031213333120 has 96 divisors (see below), whose sum is σ = 701092158560820. Its totient is φ = 54141656887296.

The previous prime is 203031213333059. The next prime is 203031213333121. The reversal of 203031213333120 is 21333312130302.

203031213333120 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 3 + 12 + 1 + 333 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173683510641216 + 29347702691904 = 13178904^2 + 5417352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (203031213333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17624231509 + ... + 17624243028.

Almost surely, 2203031213333120 is an apocalyptic number.

203031213333120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203031213333120 is an abundant number, since it is smaller than the sum of its proper divisors (498060945227700).

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

203031213333120 is a wasteful number, since it uses less digits than its factorization.

203031213333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35248474562 (or 35248474547 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 203031213333120 its reverse (21333312130302), we get a palindrome (224364525463422).

The spelling of 203031213333120 in words is "two hundred three trillion, thirty-one billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 35248474537 70496949074 105745423611 140993898148 176242372685 211490847222 281987796296 317236270833 352484745370 422981694444 528727118055 563975592592 634472541666 704969490740 845963388888 1057454236110 1127951185184 1268945083332 1409938981480 1586181354165 1691926777776 2114908472220 2255902370368 2537890166664 2819877962960 3172362708330 3383853555552 4229816944440 4511804740736 5075780333328 5639755925920 6344725416660 6767707111104 8459633888880 10151560666656 11279511851840 12689450833320 13535414222208 16919267777760 20303121333312 22559023703680 25378901666640 33838535555520 40606242666624 50757803333280 67677071111040 101515606666560 203031213333120