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112131333101 is a prime number
BaseRepresentation
bin110100001101110001…
…1000101101111101101
3101201102121212220202002
41220123203011233231
53314121110124401
6123302403342045
711046501414404
oct1503343055755
9351377786662
10112131333101
114361123a227
1219894681925
13a75cc38758
1455da2a863b
152db429da6b
hex1a1b8c5bed

112131333101 has 2 divisors, whose sum is σ = 112131333102. Its totient is φ = 112131333100.

The previous prime is 112131333047. The next prime is 112131333131. The reversal of 112131333101 is 101333131211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64541910601 + 47589422500 = 254051^2 + 218150^2 .

It is a cyclic number.

It is not a de Polignac number, because 112131333101 - 234 = 94951463917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112131333131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56065666550 + 56065666551.

It is an arithmetic number, because the mean of its divisors is an integer number (56065666551).

Almost surely, 2112131333101 is an apocalyptic number.

It is an amenable number.

112131333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112131333101 is an equidigital number, since it uses as much as digits as its factorization.

112131333101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 112131333101 its reverse (101333131211), we get a palindrome (213464464312).

The spelling of 112131333101 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred one".