Search a number
-
+
13223023133100 = 223521122039181813
BaseRepresentation
bin1100000001101011100110…
…0110001100000110101100
31201211002221012212120000020
43000122321212030012230
53213121222410224400
644042323432202140
72533221561063414
oct300327146140654
951732835776006
1013223023133100
114238941920620
121596863839350
1374bc05aa5c71
14339dd7ad7644
1517de63e8a2a0
hexc06b998c1ac

13223023133100 has 144 divisors (see below), whose sum is σ = 41738792712960. Its totient is φ = 3205418284800.

The previous prime is 13223023133053. The next prime is 13223023133113. The reversal of 13223023133100 is 133132032231.

It is a super-2 number, since 2×132230231331002 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 72637794 + ... + 72819606.

Almost surely, 213223023133100 is an apocalyptic number.

13223023133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223023133100 is an abundant number, since it is smaller than the sum of its proper divisors (28515769579860).

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

13223023133100 is a wasteful number, since it uses less digits than its factorization.

13223023133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203880 (or 203873 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13223023133100 its reverse (133132032231), we get a palindrome (13356155165331).

The spelling of 13223023133100 in words is "thirteen trillion, two hundred twenty-three billion, twenty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 22039 44078 66117 88156 110195 132234 181813 220390 242429 264468 330585 363626 440780 484858 545439 550975 661170 727252 727287 909065 969716 1090878 1101950 1212145 1322340 1454574 1652925 1818130 1999943 2181756 2203900 2424290 2727195 2909148 3305850 3636260 3636435 3999886 4545325 4848580 5454390 5999829 6060725 6611700 7272870 7999772 9090650 9999715 10908780 11999658 12121450 13635975 14545740 18181300 18182175 19999430 23999316 24242900 27271950 29999145 36364350 39998860 49998575 54543900 59998290 72728700 99997150 119996580 149995725 199994300 299991450 599982900 4006976707 8013953414 12020930121 16027906828 20034883535 24041860242 40069767070 44076743777 48083720484 60104650605 80139534140 88153487554 100174417675 120209301210 132230231331 176306975108 200348835350 220383718885 240418602420 264460462662 300523253025 400697670700 440767437770 528920925324 601046506050 661151156655 881534875540 1101918594425 1202093012100 1322302313310 2203837188850 2644604626620 3305755783275 4407674377700 6611511566550 13223023133100