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114066821 = 11217232411
BaseRepresentation
bin1101100110010…
…00010110000101
321221122012021002
412303020112011
5213200114241
615152503045
72553360221
oct663102605
9257565232
10114066821
115942a100
123224aa85
131a82a47b
1411213781
15a03289b
hex6cc8585

114066821 has 24 divisors (see below), whose sum is σ = 138583872. Its totient is φ = 93315200.

The previous prime is 114066803. The next prime is 114066847. The reversal of 114066821 is 128660411.

It is not a de Polignac number, because 114066821 - 226 = 46957957 is a prime.

It is a super-2 number, since 2×1140668212 = 26022479306092082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114066721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46106 + ... + 48516.

It is an arithmetic number, because the mean of its divisors is an integer number (5774328).

Almost surely, 2114066821 is an apocalyptic number.

114066821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114066821 is a deficient number, since it is larger than the sum of its proper divisors (24517051).

114066821 is a wasteful number, since it uses less digits than its factorization.

114066821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 114066821 is about 10680.2069736499. The cubic root of 114066821 is about 484.9754775570.

The spelling of 114066821 in words is "one hundred fourteen million, sixty-six thousand, eight hundred twenty-one".

Divisors: 1 11 17 23 121 187 253 391 2057 2411 2783 4301 26521 40987 47311 55453 291731 450857 609983 942701 4959427 6709813 10369711 114066821