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13012034311134 = 2325973202982721
BaseRepresentation
bin1011110101011001100110…
…1011101101001111011110
31201001221100001011212122200
42331112121223231033132
53201142121240424014
643401351313352330
72512042224510525
oct275263153551736
951057301155580
1013012034311134
114167411166881
12156199bb686a6
1373504cc74291
1432db004154bc
15178715e33a09
hexbd599aed3de

13012034311134 has 96 divisors (see below), whose sum is σ = 29078007285600. Its totient is φ = 4203298344960.

The previous prime is 13012034311117. The next prime is 13012034311163. The reversal of 13012034311134 is 43111343021031.

13012034311134 is a `hidden beast` number, since 1 + 301 + 2 + 0 + 34 + 311 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13012034311098 and 13012034311107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157258894 + ... + 157341614.

It is an arithmetic number, because the mean of its divisors is an integer number (302895909225).

Almost surely, 213012034311134 is an apocalyptic number.

13012034311134 is an abundant number, since it is smaller than the sum of its proper divisors (16065972974466).

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

13012034311134 is a wasteful number, since it uses less digits than its factorization.

13012034311134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84890 (or 84887 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13012034311134 its reverse (43111343021031), we get a palindrome (56123377332165).

The spelling of 13012034311134 in words is "thirteen trillion, twelve billion, thirty-four million, three hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 59 73 118 146 177 219 354 438 531 657 1062 1314 2029 4058 4307 6087 8614 12174 12921 18261 25842 36522 38763 77526 82721 119711 148117 165442 239422 248163 296234 359133 444351 496326 718266 744489 888702 1077399 1333053 1488978 2154798 2666106 4880539 6038633 8738903 9761078 12077266 14641617 17477806 18115899 26216709 29283234 36231798 43924851 52433418 54347697 78650127 87849702 108695394 157300254 167840909 335681818 356279347 503522727 712558694 1007045454 1068838041 1510568181 2137676082 3021136362 3206514123 6413028246 9902613631 12252386357 19805227262 24504772714 29707840893 36757159071 59415681786 73514318142 89123522679 110271477213 178247045358 220542954426 722890795063 1445781590126 2168672385189 4337344770378 6506017155567 13012034311134