Search a number
-
+
10142464500101 is a prime number
BaseRepresentation
bin1001001110010111100111…
…1111100110000110000101
31022220121110210022201011002
42103211321333212012011
52312133231403000401
633323214525423045
72064524503536143
oct223457177460605
938817423281132
1010142464500101
1132604388845aa
121179816a0aa85
1358757949a4ab
14270c7dbaa593
15128c671cba6b
hex93979fe6185

10142464500101 has 2 divisors, whose sum is σ = 10142464500102. Its totient is φ = 10142464500100.

The previous prime is 10142464500097. The next prime is 10142464500149. The reversal of 10142464500101 is 10100546424101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9364671030625 + 777793469476 = 3060175^2 + 881926^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142464500101 - 22 = 10142464500097 is a prime.

It is a super-2 number, since 2×101424645001012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10142464506101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071232250050 + 5071232250051.

It is an arithmetic number, because the mean of its divisors is an integer number (5071232250051).

Almost surely, 210142464500101 is an apocalyptic number.

It is an amenable number.

10142464500101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142464500101 is an equidigital number, since it uses as much as digits as its factorization.

10142464500101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 10142464500101 in words is "ten trillion, one hundred forty-two billion, four hundred sixty-four million, five hundred thousand, one hundred one".