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10101332431 is a prime number
BaseRepresentation
bin10010110100001011…
…00001100111001111
3222001222102212002101
421122011201213033
5131141420114211
64350202335531
7505214623531
oct113205414717
928058385071
1010101332431
114313a36623
121b5aaba5a7
13c4c9a95a8
146bb7bd851
153e1c275c1
hex25a1619cf

10101332431 has 2 divisors, whose sum is σ = 10101332432. Its totient is φ = 10101332430.

The previous prime is 10101332411. The next prime is 10101332443. The reversal of 10101332431 is 13423310101.

10101332431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10101332431 - 25 = 10101332399 is a prime.

It is a super-2 number, since 2×101013324312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101332399 and 10101332408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101332411) 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 as a sum of consecutive naturals, namely, 5050666215 + 5050666216.

It is an arithmetic number, because the mean of its divisors is an integer number (5050666216).

Almost surely, 210101332431 is an apocalyptic number.

10101332431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101332431 is an equidigital number, since it uses as much as digits as its factorization.

10101332431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10101332431 its reverse (13423310101), we get a palindrome (23524642532).

The spelling of 10101332431 in words is "ten billion, one hundred one million, three hundred thirty-two thousand, four hundred thirty-one".