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31301131103100 = 22325237939973907
BaseRepresentation
bin1110001110111110111001…
…10011001110101101111100
311002211100200122102012110200
413013133130303032231330
513100314204030244400
6150323312514203500
76410301131315355
oct707373463165574
9132740618365420
1031301131103100
119a7880a5417a1
123616451583590
1314608b7987461
147a2da8c4cd2c
1539433317ab00
hex1c77dccceb7c

31301131103100 has 108 divisors (see below), whose sum is σ = 100763322989784. Its totient is φ = 8121374547840.

The previous prime is 31301131103069. The next prime is 31301131103201. The reversal of 31301131103100 is 130113110313.

31301131103100 is a `hidden beast` number, since 3 + 1 + 30 + 11 + 311 + 0 + 310 + 0 = 666.

It is a super-2 number, since 2×313011311031002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469953654 + ... + 470020253.

Almost surely, 231301131103100 is an apocalyptic number.

31301131103100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31301131103100 is an abundant number, since it is smaller than the sum of its proper divisors (69462191886684).

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

31301131103100 is a wasteful number, since it uses less digits than its factorization.

31301131103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939973964 (or 939973954 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31301131103100 its reverse (130113110313), we get a palindrome (31431244213413).

The spelling of 31301131103100 in words is "thirty-one trillion, three hundred one billion, one hundred thirty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 939973907 1879947814 2819921721 3759895628 4699869535 5639843442 8459765163 9399739070 11279686884 14099608605 16919530326 18799478140 23499347675 28199217210 33839060652 34779034559 42298825815 46998695350 56398434420 69558069118 70498043025 84597651630 93997390700 104337103677 139116138236 140996086050 169195303260 173895172795 208674207354 211494129075 281992172100 313011311031 347790345590 417348414708 422988258150 521685518385 626022622062 695580691180 845976516300 869475863975 1043371036770 1252045244124 1565056555155 1738951727950 2086742073540 2608427591925 3130113110310 3477903455900 5216855183850 6260226220620 7825282775775 10433710367700 15650565551550 31301131103100