Search a number
-
+
12220112032302 = 23434713715746853
BaseRepresentation
bin1011000111010011011101…
…1011111101001000101110
31121021020020121200212222010
42301310313123331020232
53100203242140013202
641553501510502050
72400605524301136
oct261646733751056
947236217625863
1012220112032302
11399157a7345a9
12145440a964926
136a8475680a95
14303656bc9ac6
15162d16d9076c
hexb1d376fd22e

12220112032302 has 128 divisors (see below), whose sum is σ = 25891547387904. Its totient is φ = 3840862491648.

The previous prime is 12220112032291. The next prime is 12220112032319. The reversal of 12220112032302 is 20323021102221.

It is a super-2 number, since 2×122201120323022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 260794708 + ... + 260841560.

It is an arithmetic number, because the mean of its divisors is an integer number (202277713968).

Almost surely, 212220112032302 is an apocalyptic number.

12220112032302 is an abundant number, since it is smaller than the sum of its proper divisors (13671435355602).

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

12220112032302 is a wasteful number, since it uses less digits than its factorization.

12220112032302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47242.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12220112032302 its reverse (20323021102221), we get a palindrome (32543133134523).

The spelling of 12220112032302 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 43 47 86 94 129 137 141 157 258 274 282 314 411 471 822 942 2021 4042 5891 6063 6439 6751 7379 11782 12126 12878 13502 14758 17673 19317 20253 21509 22137 35346 38634 40506 43018 44274 46853 64527 93706 129054 140559 276877 281118 317297 553754 634594 830631 924887 951891 1010923 1661262 1849774 1903782 2014679 2021846 2202091 2774661 3032769 4029358 4404182 5549322 6044037 6065538 6418861 6606273 7355921 12088074 12837722 13212546 14711842 19256583 22067763 38513166 43469689 44135526 86939378 94689913 130409067 189379826 260818134 276011023 284069739 301686467 316304603 345728287 552022046 568139478 603372934 632609206 691456574 828033069 905059401 948913809 1007761177 1037184861 1656066138 1810118802 1897827618 2015522354 2074369722 3023283531 6046567062 12972518081 14866316341 25945036162 29732632682 38917554243 43333730611 44598949023 47364775319 77835108486 86667461222 89197898046 94729550638 130001191833 142094325957 260002383666 284188651914 2036685338717 4073370677434 6110056016151 12220112032302