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31132310220300 = 223521720773293861
BaseRepresentation
bin1110001010000100011100…
…10010101010111000001100
311002020012221020010210001210
413011002032102222320030
513040032432404022200
6150113552540534420
76362143445431602
oct705021622527014
9132205836123053
1031132310220300
119a13158557853
1235a9797851410
13144a9c20c2673
14798b51a2b872
1538ec520e3650
hex1c508e4aae0c

31132310220300 has 144 divisors (see below), whose sum is σ = 95379663873312. Its totient is φ = 7813196697600.

The previous prime is 31132310220293. The next prime is 31132310220307. The reversal of 31132310220300 is 302201323113.

It is an interprime number because it is at equal distance from previous prime (31132310220293) and next prime (31132310220307).

It is not an unprimeable number, because it can be changed into a prime (31132310220307) 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 47 ways as a sum of consecutive naturals, for example, 105795370 + ... + 106089230.

It is an arithmetic number, because the mean of its divisors is an integer number (662358776898).

Almost surely, 231132310220300 is an apocalyptic number.

31132310220300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31132310220300 is an abundant number, since it is smaller than the sum of its proper divisors (64247353653012).

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

31132310220300 is a wasteful number, since it uses less digits than its factorization.

31132310220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314668 (or 314661 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31132310220300 its reverse (302201323113), we get a palindrome (31434511543413).

The spelling of 31132310220300 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred ten million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 20773 41546 62319 83092 103865 124638 207730 249276 293861 311595 353141 415460 519325 587722 623190 706282 881583 1038650 1059423 1175444 1246380 1412564 1469305 1557975 1763166 1765705 2077300 2118846 2938610 3115950 3526332 3531410 4237692 4407915 4995637 5297115 5877220 6231900 7062820 7346525 8815830 8828525 9991274 10594230 14693050 14986911 17631660 17657050 19982548 21188460 22039575 24978185 26485575 29386100 29973822 35314100 44079150 49956370 52971150 59947644 74934555 88158300 99912740 105942300 124890925 149869110 249781850 299738220 374672775 499563700 749345550 1498691100 6104374553 12208749106 18313123659 24417498212 30521872765 36626247318 61043745530 73252494636 91565618295 103774367401 122087491060 152609363825 183131236590 207548734802 305218727650 311323102203 366262473180 415097469604 457828091475 518871837005 610437455300 622646204406 915656182950 1037743674010 1245292408812 1556615511015 1831312365900 2075487348020 2594359185025 3113231022030 5188718370050 6226462044060 7783077555075 10377436740100 15566155110150 31132310220300