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200031333322320 = 243251716342429193
BaseRepresentation
bin101101011110110101101100…
…100100010000111001010000
3222020020210211112210202022200
4231132311230210100321100
5202204303132312303240
61545233043111203200
760063533625210453
oct5536655444207120
9866223745722280
10200031333322320
11588108a2944155
121a5274b4976500
13877cb489581a6
1437577d518549a
15181d419c8b930
hexb5ed6c910e50

200031333322320 has 120 divisors (see below), whose sum is σ = 711287888239656. Its totient is φ = 50203942477824.

The previous prime is 200031333322309. The next prime is 200031333322321. The reversal of 200031333322320 is 23223333130002.

200031333322320 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 1 + 3 + 3 + 332 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113474137075776 + 86557196246544 = 10652424^2 + 9303612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200031333322321) 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 23 ways as a sum of consecutive naturals, for example, 8171202357 + ... + 8171226836.

Almost surely, 2200031333322320 is an apocalyptic number.

200031333322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200031333322320 is an abundant number, since it is smaller than the sum of its proper divisors (511256554917336).

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

200031333322320 is a wasteful number, since it uses less digits than its factorization.

200031333322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16342429229 (or 16342429220 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 200031333322320 its reverse (23223333130002), we get a palindrome (223254666452322).

The spelling of 200031333322320 in words is "two hundred trillion, thirty-one billion, three hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 16342429193 32684858386 49027287579 65369716772 81712145965 98054575158 130739433544 147081862737 163424291930 196109150316 245136437895 261478867088 277821296281 294163725474 326848583860 392218300632 490272875790 555642592562 588327450948 653697167720 735409313685 784436601264 833463888843 980545751580 1111285185124 1176654901896 1307394335440 1389106481405 1470818627370 1666927777686 1961091503160 2222570370248 2353309803792 2500391666529 2778212962810 2941637254740 3333855555372 3922183006320 4167319444215 4445140740496 5000783333058 5556425925620 5883274509480 6667711110744 8334638888430 10001566666116 11112851851240 11766549018960 12501958332645 13335422221488 16669277776860 20003133332232 22225703702480 25003916665290 33338555553720 40006266664464 50007833330580 66677111107440 100015666661160 200031333322320