Search a number
-
+
10200167431 is a prime number
BaseRepresentation
bin10010111111111101…
…00011010000000111
3222022212102012012221
421133332203100013
5131342220324211
64404052553211
7510524664316
oct113776432007
928285365187
1010200167431
114364801843
121b88022807
13c67302a3c
146ca98a27d
153ea74bc71
hex25ffa3407

10200167431 has 2 divisors, whose sum is σ = 10200167432. Its totient is φ = 10200167430.

The previous prime is 10200167401. The next prime is 10200167479. The reversal of 10200167431 is 13476100201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10200167431 is a prime.

It is a super-2 number, since 2×102001674312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200167396 and 10200167405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200167401) 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 as a sum of consecutive naturals, namely, 5100083715 + 5100083716.

It is an arithmetic number, because the mean of its divisors is an integer number (5100083716).

Almost surely, 210200167431 is an apocalyptic number.

10200167431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200167431 is an equidigital number, since it uses as much as digits as its factorization.

10200167431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10200167431 its reverse (13476100201), we get a palindrome (23676267632).

The spelling of 10200167431 in words is "ten billion, two hundred million, one hundred sixty-seven thousand, four hundred thirty-one".