Search a number
-
+
10132004403 = 32173172659
BaseRepresentation
bin10010110111110101…
…00001111000110011
3222011010011011010100
421123322201320303
5131222243120103
64353220003443
7506036421303
oct113372417063
928133134110
1010132004403
11432a285964
121b69230583
13c561583a1
146c18c5603
153e47855a3
hex25bea1e33

10132004403 has 36 divisors (see below), whose sum is σ = 15568633080. Its totient is φ = 6327664896.

The previous prime is 10132004383. The next prime is 10132004423. The reversal of 10132004403 is 30440023101.

10132004403 is a `hidden beast` number, since 10 + 13 + 200 + 440 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10132004383) and next prime (10132004423).

It is not a de Polignac number, because 10132004403 - 25 = 10132004371 is a prime.

It is a super-2 number, since 2×101320044032 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132004423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15374488 + ... + 15375146.

It is an arithmetic number, because the mean of its divisors is an integer number (432462030).

Almost surely, 210132004403 is an apocalyptic number.

10132004403 is a deficient number, since it is larger than the sum of its proper divisors (5436628677).

10132004403 is an equidigital number, since it uses as much as digits as its factorization.

10132004403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132004403 its reverse (30440023101), we get a palindrome (40572027504).

The spelling of 10132004403 in words is "ten billion, one hundred thirty-two million, four thousand, four hundred three".

Divisors: 1 3 9 17 51 153 317 659 951 1977 2853 5389 5931 11203 16167 33609 48501 100489 100827 208903 301467 626709 904401 1708313 1880127 3551351 5124939 10654053 15374817 31962159 66222251 198666753 596000259 1125778267 3377334801 10132004403