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114561213 = 31323137197
BaseRepresentation
bin1101101010000…
…01000010111101
321222120022102220
412311001002331
5213311424323
615211235553
72560516464
oct665010275
9258508386
10114561213
1159737598
1232448bb9
131a971500
14113019db
15a0ce0e3
hex6d410bd

114561213 has 48 divisors (see below), whose sum is σ = 176242176. Its totient is φ = 66044160.

The previous prime is 114561211. The next prime is 114561221. The reversal of 114561213 is 312165411.

It is a happy number.

It is not a de Polignac number, because 114561213 - 21 = 114561211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114561211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581431 + ... + 581627.

It is an arithmetic number, because the mean of its divisors is an integer number (3671712).

Almost surely, 2114561213 is an apocalyptic number.

114561213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114561213 is a deficient number, since it is larger than the sum of its proper divisors (61680963).

114561213 is a wasteful number, since it uses less digits than its factorization.

114561213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 114561213 is about 10703.3271929807. The cubic root of 114561213 is about 485.6751330238.

The spelling of 114561213 in words is "one hundred fourteen million, five hundred sixty-one thousand, two hundred thirteen".

Divisors: 1 3 13 31 37 39 93 111 169 197 403 481 507 591 1147 1209 1443 2561 3441 5239 6107 6253 7289 7683 14911 15717 18321 18759 21867 33293 44733 79391 94757 99879 193843 225959 238173 284271 581529 677877 1032083 1231841 2937467 3096249 3695523 8812401 38187071 114561213