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114130134999 = 33173106123029
BaseRepresentation
bin110101001001010101…
…1111010011111010111
3101220120220222120111000
41222102223322133113
53332214303304444
6124233004514343
711150152066236
oct1522253723727
9356526876430
10114130134999
1144447538721
121a151b4b9b3
13a9bb08367a
145749930b1d
152e7e9c6469
hex1a92afa7d7

114130134999 has 32 divisors (see below), whose sum is σ = 170226705600. Its totient is φ = 75572369280.

The previous prime is 114130134997. The next prime is 114130135027. The reversal of 114130134999 is 999431031411.

114130134999 is a `hidden beast` number, since 1 + 14 + 130 + 13 + 499 + 9 = 666.

It is not a de Polignac number, because 114130134999 - 21 = 114130134997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114130134997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4944417 + ... + 4967445.

It is an arithmetic number, because the mean of its divisors is an integer number (5319584550).

Almost surely, 2114130134999 is an apocalyptic number.

114130134999 is a deficient number, since it is larger than the sum of its proper divisors (56096570601).

114130134999 is a wasteful number, since it uses less digits than its factorization.

114130134999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272 (or 24266 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 114130134999 in words is "one hundred fourteen billion, one hundred thirty million, one hundred thirty-four thousand, nine hundred ninety-nine".

Divisors: 1 3 9 27 173 519 1061 1557 3183 4671 9549 23029 28647 69087 183553 207261 550659 621783 1651977 3984017 4955931 11952051 24433769 35856153 73301307 107568459 219903921 659711763 4227042037 12681126111 38043378333 114130134999