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114211967 = 173126991
BaseRepresentation
bin1101100111010…
…11110001111111
321221220120100212
412303223301333
5213214240332
615155543035
72554533332
oct663536177
9257816325
10114211967
1159519161
12322baa7b
131a87b55c
1411250619
15a0608b2
hex6cebc7f

114211967 has 12 divisors (see below), whose sum is σ = 124975008. Its totient is φ = 104011200.

The previous prime is 114211939. The next prime is 114211987. The reversal of 114211967 is 769112411.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-114211967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114211987) 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 in 11 ways as a sum of consecutive naturals, for example, 12842 + ... + 19832.

It is an arithmetic number, because the mean of its divisors is an integer number (10414584).

Almost surely, 2114211967 is an apocalyptic number.

114211967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114211967 is a deficient number, since it is larger than the sum of its proper divisors (10763041).

114211967 is an equidigital number, since it uses as much as digits as its factorization.

114211967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7039 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 114211967 is about 10686.9999064284. Note that the first 4 decimals coincide. The cubic root of 114211967 is about 485.1810950887.

The spelling of 114211967 in words is "one hundred fourteen million, two hundred eleven thousand, nine hundred sixty-seven".

Divisors: 1 17 31 527 961 6991 16337 118847 216721 3684257 6718351 114211967