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10125000753 = 372937641701
BaseRepresentation
bin10010110110111111…
…10100000000110001
3222010121222022220220
421123133310000301
5131214000011003
64352405523253
7505623041430
oct113337640061
928117868826
1010125000753
114326331a1a
121b66a13529
13c5487560a
146c09c1117
153e3d50353
hex25b7f4031

10125000753 has 64 divisors (see below), whose sum is σ = 16440952320. Its totient is φ = 5419008000.

The previous prime is 10125000731. The next prime is 10125000757. The reversal of 10125000753 is 35700052101.

10125000753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10125000753 is a nontrivial binomial coefficient, being equal to C(142303, 2).

It is not a de Polignac number, because 10125000753 - 216 = 10124935217 is a prime.

It is a super-3 number, since 3×101250007533 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10125000757) 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 in 63 ways as a sum of consecutive naturals, for example, 14443303 + ... + 14444003.

It is an arithmetic number, because the mean of its divisors is an integer number (256889880).

Almost surely, 210125000753 is an apocalyptic number.

10125000753 is the 142302-nd triangular number.

It is an amenable number.

10125000753 is a deficient number, since it is larger than the sum of its proper divisors (6315951567).

10125000753 is a wasteful number, since it uses less digits than its factorization.

10125000753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418.

The product of its (nonzero) digits is 1050, while the sum is 24.

Adding to 10125000753 its reverse (35700052101), we get a palindrome (45825052854).

The spelling of 10125000753 in words is "ten billion, one hundred twenty-five million, seven hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 7 21 29 37 87 111 203 259 609 641 701 777 1073 1923 2103 3219 4487 4907 7511 13461 14721 18589 20329 22533 23717 25937 55767 60987 71151 77811 130123 142303 166019 181559 390369 426909 449341 498057 544677 687793 752173 1348023 2063379 2256519 3145387 4814551 5265211 9436161 13030889 14443653 15795633 16625617 39092667 49876851 91216223 116379319 273648669 349137957 482142893 1446428679 3375000251 10125000753