Search a number
-
+
10500752071 = 29215598009
BaseRepresentation
bin10011100011110010…
…01100001011000111
31000002211000110211101
421301321030023013
5133001143031241
64453551320531
7521134630345
oct116171141307
930084013741
1010500752071
1144a94454a7
122050820147
13cb4676984
14718872995
15416d23e31
hex271e4c2c7

10500752071 has 12 divisors (see below), whose sum is σ = 10883667600. Its totient is φ = 10130888768.

The previous prime is 10500752063. The next prime is 10500752077. The reversal of 10500752071 is 17025700501.

10500752071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10500752071 - 23 = 10500752063 is a prime.

It is a super-2 number, since 2×105007520712 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500752077) 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 11 ways as a sum of consecutive naturals, for example, 1307115 + ... + 1315123.

It is an arithmetic number, because the mean of its divisors is an integer number (906972300).

Almost surely, 210500752071 is an apocalyptic number.

10500752071 is a deficient number, since it is larger than the sum of its proper divisors (382915529).

10500752071 is an equidigital number, since it uses as much as digits as its factorization.

10500752071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The spelling of 10500752071 in words is "ten billion, five hundred million, seven hundred fifty-two thousand, seventy-one".

Divisors: 1 29 841 1559 8009 45211 232261 1311119 6735569 12486031 362094899 10500752071