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2134323313122 = 2371113977363731
BaseRepresentation
bin11111000011101111100…
…101010011100111100010
321120001001122212011021010
4133003233211103213202
5234432043232004442
64312254455441350
7310125343553610
oct37035745234742
97501048764233
102134323313122
11753185961070
122a5790686256
1312635c02b840
14754321d06b0
153a7ba67cb9c
hex1f0ef9539e2

2134323313122 has 128 divisors (see below), whose sum is σ = 5737211762688. Its totient is φ = 511200691200.

The previous prime is 2134323313117. The next prime is 2134323313151. The reversal of 2134323313122 is 2213133234312.

It is a self number, because there is not a number n which added to its sum of digits gives 2134323313122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5685997 + ... + 6049727.

It is an arithmetic number, because the mean of its divisors is an integer number (44821966896).

Almost surely, 22134323313122 is an apocalyptic number.

2134323313122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134323313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868605881344).

2134323313122 is an abundant number, since it is smaller than the sum of its proper divisors (3602888449566).

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

2134323313122 is a wasteful number, since it uses less digits than its factorization.

2134323313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364744.

The product of its digits is 15552, while the sum is 30.

Adding to 2134323313122 its reverse (2213133234312), we get a palindrome (4347456547434).

The spelling of 2134323313122 in words is "two trillion, one hundred thirty-four billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 977 1001 1954 2002 2931 3003 5862 6006 6839 10747 12701 13678 20517 21494 25402 32241 38103 41034 64482 75229 76206 88907 139711 150458 177814 225687 266721 279422 363731 419133 451374 533442 727462 838266 977977 1091193 1955954 2182386 2546117 2933931 4001041 4728503 5092234 5867862 7638351 8002082 9457006 12003123 14185509 15276702 24006246 28007287 28371018 33099521 52013533 56014574 66199042 84021861 99298563 104027066 156040599 168043722 198597126 312081198 355365187 364094731 710730374 728189462 1066095561 1092284193 2132191122 2184568386 2487556309 3909017057 4619747431 4975112618 7462668927 7818034114 9239494862 11727051171 13859242293 14925337854 23454102342 27363119399 27718484586 32338232017 50817221741 54726238798 64676464034 82089358197 97014696051 101634443482 152451665223 164178716394 194029392102 304903330446 355720552187 711441104374 1067161656561 2134323313122