Search a number
-
+
12023105094 = 23271113667283
BaseRepresentation
bin10110011001010001…
…00000011001000110
31011000220121000120200
423030220200121012
5144110403330334
65305012511330
7603641464350
oct131450403106
934026530520
1012023105094
11510a8028a0
1223b661b546
131197b94390
14820b140d0
154a57d6799
hex2cca20646

12023105094 has 96 divisors (see below), whose sum is σ = 34976358144. Its totient is φ = 2882658240.

The previous prime is 12023105093. The next prime is 12023105117. The reversal of 12023105094 is 49050132021.

12023105094 is a `hidden beast` number, since 120 + 2 + 31 + 0 + 509 + 4 = 666.

It is a super-2 number, since 2×120231050942 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023105093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315624 + ... + 351659.

It is an arithmetic number, because the mean of its divisors is an integer number (364337064).

Almost surely, 212023105094 is an apocalyptic number.

12023105094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12023105094 is an abundant number, since it is smaller than the sum of its proper divisors (22953253050).

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

12023105094 is a wasteful number, since it uses less digits than its factorization.

12023105094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667322 (or 667319 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12023105094 in words is "twelve billion, twenty-three million, one hundred five thousand, ninety-four".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 667283 1334566 2001849 4003698 4670981 6005547 7340113 8674679 9341962 12011094 14012943 14680226 17349358 22020339 26024037 28025886 42038829 44040678 51380791 52048074 60722753 66061017 78072111 84077658 95421469 102761582 121445506 132122034 154142373 156144222 182168259 190842938 286264407 308284746 364336518 462427119 546504777 572528814 667950283 858793221 924854238 1093009554 1335900566 1717586442 2003850849 4007701698 6011552547 12023105094