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10132004141 = 79831472461
BaseRepresentation
bin10010110111110101…
…00001110100101101
3222011010011010202122
421123322201310231
5131222243113031
64353220002325
7506036420450
oct113372416455
928133133678
1010132004141
11432a285746
121b692303a5
13c5615822c
146c18c5497
153e478547b
hex25bea1d2d

10132004141 has 8 divisors (see below), whose sum is σ = 11591220864. Its totient is φ = 8675734320.

The previous prime is 10132004119. The next prime is 10132004149. The reversal of 10132004141 is 14140023101.

It is a happy number.

10132004141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10132004141 - 210 = 10132003117 is a prime.

It is a super-2 number, since 2×101320041412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132004149) 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 7 ways as a sum of consecutive naturals, for example, 729350 + ... + 743111.

It is an arithmetic number, because the mean of its divisors is an integer number (1448902608).

Almost surely, 210132004141 is an apocalyptic number.

It is an amenable number.

10132004141 is a deficient number, since it is larger than the sum of its proper divisors (1459216723).

10132004141 is an equidigital number, since it uses as much as digits as its factorization.

10132004141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473451.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10132004141 its reverse (14140023101), we get a palindrome (24272027242).

The spelling of 10132004141 in words is "ten billion, one hundred thirty-two million, four thousand, one hundred forty-one".

Divisors: 1 7 983 6881 1472461 10307227 1447429163 10132004141