Search a number
-
+
10310132001 = 3131757726951
BaseRepresentation
bin10011001101000100…
…00010000100100001
3222121112022222020210
421212202002010201
5132103343211001
64423021524333
7513331450611
oct114642020441
928545288223
1010310132001
114410889854
121bb8a136a9
13c84024c30
146db412a41
1540521ddd6
hex266882121

10310132001 has 32 divisors (see below), whose sum is σ = 15702882048. Its totient is φ = 5960908800.

The previous prime is 10310131999. The next prime is 10310132011. The reversal of 10310132001 is 10023101301.

It is not a de Polignac number, because 10310132001 - 21 = 10310131999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10310132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369076 + ... + 396026.

It is an arithmetic number, because the mean of its divisors is an integer number (490715064).

Almost surely, 210310132001 is an apocalyptic number.

It is an amenable number.

10310132001 is a deficient number, since it is larger than the sum of its proper divisors (5392750047).

10310132001 is a wasteful number, since it uses less digits than its factorization.

10310132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27561.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10310132001 its reverse (10023101301), we get a palindrome (20333233302).

It can be divided in two parts, 10310 and 132001, that added together give a triangular number (142311 = T533).

The spelling of 10310132001 in words is "ten billion, three hundred ten million, one hundred thirty-two thousand, one".

Divisors: 1 3 13 17 39 51 221 577 663 1731 7501 9809 22503 26951 29427 80853 127517 350363 382551 458167 1051089 1374501 5956171 15550727 17868513 46652181 202159451 264362359 606478353 793087077 3436710667 10310132001