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12134102332014 = 23613694792153
BaseRepresentation
bin1011000010010011000011…
…0110111111001001101110
31120222000020110021102000000
42300210300312333021232
53042301120144111024
641450155112245130
72361442240020345
oct260446066771156
946860213242000
1012134102332014
113959053481773
12143b8063a07a6
136a0319464bc0
142dd417c38b5c
15160980ebecc9
hexb0930dbf26e

12134102332014 has 112 divisors (see below), whose sum is σ = 29392968748752. Its totient is φ = 3732992002944.

The previous prime is 12134102332003. The next prime is 12134102332057. The reversal of 12134102332014 is 41023320143121.

12134102332014 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 410 + 233 + 2 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 131627362 + ... + 131719514.

It is an arithmetic number, because the mean of its divisors is an integer number (262437220971).

Almost surely, 212134102332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134102332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696484374376).

12134102332014 is an abundant number, since it is smaller than the sum of its proper divisors (17258866416738).

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

12134102332014 is an equidigital number, since it uses as much as digits as its factorization.

12134102332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99133 (or 99118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12134102332014 its reverse (41023320143121), we get a palindrome (53157422475135).

The spelling of 12134102332014 in words is "twelve trillion, one hundred thirty-four billion, one hundred two million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 6947 9477 13894 18954 20841 41682 62523 90311 92153 125046 180622 184306 187569 270933 276459 375138 541866 552918 562707 812799 829377 1125414 1197989 1625598 1658754 1688121 2395978 2438397 2488131 3376242 3593967 4876794 4976262 5064363 7187934 7315191 7464393 10128726 10781901 14630382 14928786 21563802 21945573 22393179 32345703 43891146 44786358 64691406 65836719 67179537 97037109 131673438 134359074 194074218 291111327 582222654 640186891 873333981 1280373782 1746667962 1920560673 3841121346 5761682019 8322429583 11523364038 16644859166 17285046057 24967288749 34570092114 49934577498 51855138171 74901866247 103710276342 149803732494 155565414513 224705598741 311130829026 449411197482 466696243539 674116796223 933392487078 1348233592446 2022350388669 4044700777338 6067051166007 12134102332014