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10312425981 = 361121317232
BaseRepresentation
bin10011001101010101…
…10010000111111101
3222121200122112000000
421212222302013331
5132104440112411
64423143024513
7513360113604
oct114652620775
928550575000
1010312425981
114412106300
121bb973b139
13c84649110
146db84ca3b
15405523956
hex266ab21fd

10312425981 has 252 divisors, whose sum is σ = 20258042364. Its totient is φ = 5193745920.

The previous prime is 10312425961. The next prime is 10312425989. The reversal of 10312425981 is 18952421301.

10312425981 is a `hidden beast` number, since 10 + 3 + 12 + 42 + 598 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4666256100 + 5646169881 = 68310^2 + 75141^2 .

It is not a de Polignac number, because 10312425981 - 26 = 10312425917 is a prime.

It is a super-2 number, since 2×103124259812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312425989) 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 251 ways as a sum of consecutive naturals, for example, 448366336 + ... + 448366358.

It is an arithmetic number, because the mean of its divisors is an integer number (80389057).

Almost surely, 210312425981 is an apocalyptic number.

10312425981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10312425981 is a deficient number, since it is larger than the sum of its proper divisors (9945616383).

10312425981 is a wasteful number, since it uses less digits than its factorization.

10312425981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10312425981 in words is "ten billion, three hundred twelve million, four hundred twenty-five thousand, nine hundred eighty-one".