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114052301 = 1122933217
BaseRepresentation
bin1101100110001…
…00110011001101
321221121110100022
412303010303031
5213144133201
615152311525
72553266666
oct663046315
9257543308
10114052301
115941a200
12322425a5
131a82398c
141120c36d
15a02d41b
hex6cc4ccd

114052301 has 12 divisors (see below), whose sum is σ = 125830236. Its totient is φ = 103297920.

The previous prime is 114052271. The next prime is 114052319. The reversal of 114052301 is 103250411.

It can be written as a sum of positive squares in 2 ways, for example, as 105555076 + 8497225 = 10274^2 + 2915^2 .

It is not a de Polignac number, because 114052301 - 210 = 114051277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114052301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114052361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33845 + ... + 37061.

It is an arithmetic number, because the mean of its divisors is an integer number (10485853).

Almost surely, 2114052301 is an apocalyptic number.

114052301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114052301 is a deficient number, since it is larger than the sum of its proper divisors (11777935).

114052301 is a wasteful number, since it uses less digits than its factorization.

114052301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 114052301 is about 10679.5271899087. The cubic root of 114052301 is about 484.9548985587.

The spelling of 114052301 in words is "one hundred fourteen million, fifty-two thousand, three hundred one".

Divisors: 1 11 121 293 3217 3223 35387 35453 389257 942581 10368391 114052301