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31124343330 = 2325451776561
BaseRepresentation
bin11100111111001001…
…111100101000100010
32222100002221110110200
4130333021330220202
51002220312441310
622144234410030
72151201360513
oct347711745042
988302843420
1031124343330
11122219758a3
126047590916
132c202ba102
1417138c2a0a
15c226bc9c0
hex73f27ca22

31124343330 has 48 divisors (see below), whose sum is σ = 80942265144. Its totient is φ = 8297879040.

The previous prime is 31124343287. The next prime is 31124343331. The reversal of 31124343330 is 3334342113.

31124343330 is a `hidden beast` number, since 311 + 2 + 4 + 343 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14445395721 + 16678947609 = 120189^2 + 129147^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31124343294 and 31124343303.

It is not an unprimeable number, because it can be changed into a prime (31124343331) 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 23 ways as a sum of consecutive naturals, for example, 368250 + ... + 444810.

Almost surely, 231124343330 is an apocalyptic number.

31124343330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31124343330 is an abundant number, since it is smaller than the sum of its proper divisors (49817921814).

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

31124343330 is a wasteful number, since it uses less digits than its factorization.

31124343330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81091 (or 81088 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31124343330 its reverse (3334342113), we get a palindrome (34458685443).

The spelling of 31124343330 in words is "thirty-one billion, one hundred twenty-four million, three hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4517 9034 13551 22585 27102 40653 45170 67755 76561 81306 135510 153122 203265 229683 382805 406530 459366 689049 765610 1148415 1378098 2296830 3445245 6890490 345826037 691652074 1037478111 1729130185 2074956222 3112434333 3458260370 5187390555 6224868666 10374781110 15562171665 31124343330