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10231013241 = 321136779249
BaseRepresentation
bin10011000011101000…
…01101111101111001
3222102000110022201100
421201310031331321
5131423114410431
64411114042013
7511351114641
oct114164157571
928360408640
1010231013241
11438015a749
121b96419309
13c708129b7
146d0ad9521
153ed2e14e6
hex261d0df79

10231013241 has 6 divisors (see below), whose sum is σ = 14778130250. Its totient is φ = 6820675488.

The previous prime is 10231013237. The next prime is 10231013267. The reversal of 10231013241 is 14231013201.

10231013241 is a `hidden beast` number, since 102 + 310 + 13 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9901046016 + 329967225 = 99504^2 + 18165^2 .

It is not a de Polignac number, because 10231013241 - 22 = 10231013237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10231013231) 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 5 ways as a sum of consecutive naturals, for example, 568389616 + ... + 568389633.

Almost surely, 210231013241 is an apocalyptic number.

It is an amenable number.

10231013241 is a deficient number, since it is larger than the sum of its proper divisors (4547117009).

10231013241 is a wasteful number, since it uses less digits than its factorization.

10231013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136779255 (or 1136779252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10231013241 its reverse (14231013201), we get a palindrome (24462026442).

The spelling of 10231013241 in words is "ten billion, two hundred thirty-one million, thirteen thousand, two hundred forty-one".

Divisors: 1 3 9 1136779249 3410337747 10231013241