Search a number
-
+
231333141001 = 7313723131001
BaseRepresentation
bin1101011101110010000…
…1111001101000001001
3211010010000010011112011
43113130201321220021
512242232241003001
6254134544015521
722466436153214
oct3273441715011
9733100104464
10231333141001
118a120588856
1238a010015a1
1318a78953ab1
14b2a75d677b
15603e137d51
hex35dc879a09

231333141001 has 8 divisors (see below), whose sum is σ = 236213792424. Its totient is φ = 226498752000.

The previous prime is 231333140977. The next prime is 231333141037. The reversal of 231333141001 is 100141333132.

231333141001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53557067776 + 177776073225 = 231424^2 + 421635^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231333141001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231333141301) 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, 11555500 + ... + 11575501.

It is an arithmetic number, because the mean of its divisors is an integer number (29526724053).

Almost surely, 2231333141001 is an apocalyptic number.

It is an amenable number.

231333141001 is a deficient number, since it is larger than the sum of its proper divisors (4880651423).

231333141001 is a wasteful number, since it uses less digits than its factorization.

231333141001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131211.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 231333141001 its reverse (100141333132), we get a palindrome (331474474133).

The spelling of 231333141001 in words is "two hundred thirty-one billion, three hundred thirty-three million, one hundred forty-one thousand, one".

Divisors: 1 73 137 10001 23131001 1688563073 3168947137 231333141001