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114132001 is a prime number
BaseRepresentation
bin1101100110110…
…00010000100001
321221202111200011
412303120100201
5213204211001
615154124521
72554051234
oct663302041
9257674604
10114132001
1159474075
1232280741
131a851039
141122d41b
15a046d51
hex6cd8421

114132001 has 2 divisors, whose sum is σ = 114132002. Its totient is φ = 114132000.

The previous prime is 114131989. The next prime is 114132017. The reversal of 114132001 is 100231411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104019601 + 10112400 = 10199^2 + 3180^2 .

It is a cyclic number.

It is not a de Polignac number, because 114132001 - 213 = 114123809 is a prime.

It is a super-2 number, since 2×1141320012 = 26052227304528002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114132041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57066000 + 57066001.

It is an arithmetic number, because the mean of its divisors is an integer number (57066001).

Almost surely, 2114132001 is an apocalyptic number.

It is an amenable number.

114132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114132001 is an equidigital number, since it uses as much as digits as its factorization.

114132001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 114132001 is about 10683.2579768533. The cubic root of 114132001 is about 485.0678347744.

Adding to 114132001 its reverse (100231411), we get a palindrome (214363412).

The spelling of 114132001 in words is "one hundred fourteen million, one hundred thirty-two thousand, one".