Search a number
-
+
13442325522200 = 2352591762764627
BaseRepresentation
bin1100001110011100100100…
…0010011010011100011000
31202121001222210000012111122
43003213021002122130120
53230214340313202300
644331152531344412
72555114233453331
oct303471102323430
952531883005448
1013442325522200
114312949353403
121611267752108
137667b50b8c43
1434687d589288
151849ebccac85
hexc39c909a718

13442325522200 has 96 divisors (see below), whose sum is σ = 31785420513600. Its totient is φ = 5285414144640.

The previous prime is 13442325522163. The next prime is 13442325522287. The reversal of 13442325522200 is 222552324431.

It is a super-2 number, since 2×134423255222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207966287 + ... + 208030913.

It is an arithmetic number, because the mean of its divisors is an integer number (331098130350).

Almost surely, 213442325522200 is an apocalyptic number.

13442325522200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442325522200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892710256800).

13442325522200 is an abundant number, since it is smaller than the sum of its proper divisors (18343094991400).

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

13442325522200 is a wasteful number, since it uses less digits than its factorization.

13442325522200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82329 (or 82320 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 13442325522200 its reverse (222552324431), we get a palindrome (13664877846631).

The spelling of 13442325522200 in words is "thirteen trillion, four hundred forty-two billion, three hundred twenty-five million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 5900 11800 17627 35254 64627 70508 88135 129254 141016 176270 258508 323135 352540 440675 517016 646270 705080 881350 1039993 1292540 1615675 1762700 2079986 2585080 3231350 3525400 3812993 4159972 5199965 6462700 7625986 8319944 10399930 12925400 15251972 19064965 20799860 25999825 30503944 38129930 41599720 51999650 76259860 95324825 103999300 152519720 190649650 207998600 381299300 762598600 1139180129 2278360258 4556720516 5695900645 9113441032 11391801290 22783602580 28479503225 45567205160 56959006450 67211627611 113918012900 134423255222 227836025800 268846510444 336058138055 537693020888 672116276110 1344232552220 1680290690275 2688465104440 3360581380550 6721162761100 13442325522200