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31300320002112 = 26327227241714149
BaseRepresentation
bin1110001110111101011000…
…11101001000000001000000
311002211021121010012000002100
413013132230131020001000
513100311023410031422
6150323100221350400
76410242052135430
oct707365435100100
9132737533160070
1031300320002112
119a784337095a7
123616265a08400
1314607b8918845
147a2d2d2342c0
153942d6d5e7ac
hex1c77ac748040

31300320002112 has 336 divisors, whose sum is σ = 103034968732800. Its totient is φ = 8899239591936.

The previous prime is 31300320002099. The next prime is 31300320002117. The reversal of 31300320002112 is 21120002300313.

31300320002112 is a `hidden beast` number, since 3 + 130 + 0 + 320 + 0 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×313003200021122 (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 not an unprimeable number, because it can be changed into a prime (31300320002117) 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, 2212186014 + ... + 2212200162.

Almost surely, 231300320002112 is an apocalyptic number.

31300320002112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300320002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51517484366400).

31300320002112 is an abundant number, since it is smaller than the sum of its proper divisors (71734648730688).

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

31300320002112 is a wasteful number, since it uses less digits than its factorization.

31300320002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16818 (or 16805 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31300320002112 its reverse (21120002300313), we get a palindrome (52420322302425).

The spelling of 31300320002112 in words is "thirty-one trillion, three hundred billion, three hundred twenty million, two thousand, one hundred twelve".