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10132405521 = 373118185991
BaseRepresentation
bin10010110111111000…
…00011110100010001
3222011010220112100120
421123330003310101
5131222343434041
64353232340453
7506043011610
oct113374036421
928133815316
1010132405521
11432a52a267
121b693a4729
13c56268b34
146c198b877
153e4814366
hex25bf03d11

10132405521 has 32 divisors (see below), whose sum is σ = 16026157056. Its totient is φ = 5572152000.

The previous prime is 10132405513. The next prime is 10132405523. The reversal of 10132405521 is 12550423101.

It is a happy number.

10132405521 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132405521 - 23 = 10132405513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10132405491 and 10132405500.

It is not an unprimeable number, because it can be changed into a prime (10132405523) 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 31 ways as a sum of consecutive naturals, for example, 74836 + ... + 160826.

It is an arithmetic number, because the mean of its divisors is an integer number (500817408).

Almost surely, 210132405521 is an apocalyptic number.

It is an amenable number.

10132405521 is a deficient number, since it is larger than the sum of its proper divisors (5893751535).

10132405521 is a wasteful number, since it uses less digits than its factorization.

10132405521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86213.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10132405521 its reverse (12550423101), we get a palindrome (22682828622).

The spelling of 10132405521 in words is "ten billion, one hundred thirty-two million, four hundred five thousand, five hundred twenty-one".

Divisors: 1 3 7 21 31 93 181 217 543 651 1267 3801 5611 16833 39277 85991 117831 257973 601937 1805811 2665721 7997163 15564371 18660047 46693113 55980141 108950597 326851791 482495501 1447486503 3377468507 10132405521