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12117042114 = 23231016171409
BaseRepresentation
bin10110100100011101…
…10110001111000010
31011021110100111221120
423102032312033002
5144303430321424
65322210133110
7606162105252
oct132216661702
934243314846
1012117042114
1151588330a1
122421b81196
1311b1494308
1482d3a7962
154adb8ea79
hex2d23b63c2

12117042114 has 64 divisors (see below), whose sum is σ = 25597658880. Its totient is φ = 3816243200.

The previous prime is 12117042079. The next prime is 12117042139. The reversal of 12117042114 is 41124071121.

It is a happy number.

12117042114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8599042 + ... + 8600450.

It is an arithmetic number, because the mean of its divisors is an integer number (399963420).

Almost surely, 212117042114 is an apocalyptic number.

12117042114 is an abundant number, since it is smaller than the sum of its proper divisors (13480616766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12117042114 is a wasteful number, since it uses less digits than its factorization.

12117042114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155.

The product of its (nonzero) digits is 448, while the sum is 24.

The spelling of 12117042114 in words is "twelve billion, one hundred seventeen million, forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 23 46 69 101 138 202 303 606 617 1234 1409 1851 2323 2818 3702 4227 4646 6969 8454 13938 14191 28382 32407 42573 62317 64814 85146 97221 124634 142309 186951 194442 284618 373902 426927 853854 869353 1433291 1738706 2608059 2866582 3273107 4299873 5216118 6546214 8599746 9819321 19638642 19995119 39990238 59985357 87804653 119970714 175609306 263413959 526827918 2019507019 4039014038 6058521057 12117042114