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10123114312 = 231265389289
BaseRepresentation
bin10010110110110001…
…00111011101001000
3222010111102111012201
421123120213131020
5131213004124222
64352301245544
7505601023543
oct113330473510
928114374181
1010123114312
114325263683
121b662638b4
13c54364a8c
146c064d85a
153e3acb427
hex25b627748

10123114312 has 8 divisors (see below), whose sum is σ = 18980839350. Its totient is φ = 5061557152.

The previous prime is 10123114301. The next prime is 10123114319. The reversal of 10123114312 is 21341132101.

10123114312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5705385156 + 4417729156 = 75534^2 + 66466^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10123114312.

It is not an unprimeable number, because it can be changed into a prime (10123114319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 632694637 + ... + 632694652.

Almost surely, 210123114312 is an apocalyptic number.

It is an amenable number.

10123114312 is a deficient number, since it is larger than the sum of its proper divisors (8857725038).

10123114312 is a wasteful number, since it uses less digits than its factorization.

10123114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265389295 (or 1265389291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10123114312 its reverse (21341132101), we get a palindrome (31464246413).

The spelling of 10123114312 in words is "ten billion, one hundred twenty-three million, one hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 1265389289 2530778578 5061557156 10123114312