Search a number
-
+
10100946431 is a prime number
BaseRepresentation
bin10010110100001000…
…00011010111111111
3222001221201020121002
421122010003113333
5131141320241211
64350150200515
7505211425262
oct113204032777
928057636532
1010100946431
1143137a2614
121b5a95313b
13c4c8a29a4
146bb71ccd9
153e1b9d03b
hex25a1035ff

10100946431 has 2 divisors, whose sum is σ = 10100946432. Its totient is φ = 10100946430.

The previous prime is 10100946407. The next prime is 10100946439. The reversal of 10100946431 is 13464900101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100946431 - 218 = 10100684287 is a prime.

It is a super-2 number, since 2×101009464312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100946394 and 10100946403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100946439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050473215 + 5050473216.

It is an arithmetic number, because the mean of its divisors is an integer number (5050473216).

Almost surely, 210100946431 is an apocalyptic number.

10100946431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100946431 is an equidigital number, since it uses as much as digits as its factorization.

10100946431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10100946431 in words is "ten billion, one hundred million, nine hundred forty-six thousand, four hundred thirty-one".