Search a number
-
+
10105010529 = 381111873499
BaseRepresentation
bin10010110100100111…
…00011100101100001
3222002020100201111020
421122103203211201
5131143340314104
64350413240053
7505261113045
oct113223434541
928066321436
1010105010529
114316018a79
121b60193029
13c50696793
146bc09a025
153e22022d9
hex25a4e3961

10105010529 has 16 divisors (see below), whose sum is σ = 13505184000. Its totient is φ = 6720777360.

The previous prime is 10105010501. The next prime is 10105010549. The reversal of 10105010529 is 92501050101.

It is not a de Polignac number, because 10105010529 - 211 = 10105008481 is a prime.

It is a super-2 number, since 2×101050105292 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10105010499 and 10105010508.

It is not an unprimeable number, because it can be changed into a prime (10105010549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2886222 + ... + 2889720.

It is an arithmetic number, because the mean of its divisors is an integer number (844074000).

Almost surely, 210105010529 is an apocalyptic number.

It is an amenable number.

10105010529 is a deficient number, since it is larger than the sum of its proper divisors (3400173471).

10105010529 is a wasteful number, since it uses less digits than its factorization.

10105010529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500.

The product of its (nonzero) digits is 450, while the sum is 24.

The spelling of 10105010529 in words is "ten billion, one hundred five million, ten thousand, five hundred twenty-nine".

Divisors: 1 3 811 1187 2433 3499 3561 10497 962657 2837689 2887971 4153313 8513067 12459939 3368336843 10105010529