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10132103205 = 325732165407
BaseRepresentation
bin10010110111110101…
…11010000000100101
3222011010100011122200
421123322322000211
5131222304300310
64353222045113
7506040312330
oct113372720045
928133304580
1010132103205
11432a343114
121b69279799
13c56191353
146c190d617
153e47a49c0
hex25beba025

10132103205 has 24 divisors (see below), whose sum is σ = 20071214592. Its totient is φ = 4631818464.

The previous prime is 10132103203. The next prime is 10132103263. The reversal of 10132103205 is 50230123101.

10132103205 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 10132103205 - 21 = 10132103203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132103203) 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 23 ways as a sum of consecutive naturals, for example, 16082389 + ... + 16083018.

It is an arithmetic number, because the mean of its divisors is an integer number (836300608).

Almost surely, 210132103205 is an apocalyptic number.

10132103205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10132103205 is a deficient number, since it is larger than the sum of its proper divisors (9939111387).

10132103205 is a wasteful number, since it uses less digits than its factorization.

10132103205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32165425 (or 32165422 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10132103205 its reverse (50230123101), we get a palindrome (60362226306).

The spelling of 10132103205 in words is "ten billion, one hundred thirty-two million, one hundred three thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 32165407 96496221 160827035 225157849 289488663 482481105 675473547 1125789245 1447443315 2026420641 3377367735 10132103205