Search a number
-
+
13121123221020 = 2235833118471909
BaseRepresentation
bin1011111011101111111111…
…1000110111111000011100
31201110100220122012200100110
42332323333320313320130
53204434030021033040
643523432155330020
72522653444112553
oct276737770677034
951410818180313
1013121123221020
1141a9700a9a451
12157ab65750910
137424167939b9
143350cc5d2d9a
1517b49d05d980
hexbeeffe37e1c

13121123221020 has 96 divisors (see below), whose sum is σ = 37301345303040. Its totient is φ = 3445694421760.

The previous prime is 13121123221007. The next prime is 13121123221057. The reversal of 13121123221020 is 2012232112131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687175 + ... + 5784734.

It is an arithmetic number, because the mean of its divisors is an integer number (388555680240).

Almost surely, 213121123221020 is an apocalyptic number.

13121123221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121123221020 is an abundant number, since it is smaller than the sum of its proper divisors (24180222082020).

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

13121123221020 is a wasteful number, since it uses less digits than its factorization.

13121123221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472315 (or 8472313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13121123221020 its reverse (2012232112131), we get a palindrome (15133355333151).

The spelling of 13121123221020 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 311 332 415 498 622 830 933 996 1244 1245 1555 1660 1866 2490 3110 3732 4665 4980 6220 9330 18660 25813 51626 77439 103252 129065 154878 258130 309756 387195 516260 774390 1548780 8471909 16943818 25415727 33887636 42359545 50831454 84719090 101662908 127078635 169438180 254157270 508314540 703168447 1406336894 2109505341 2634763699 2812673788 3515842235 4219010682 5269527398 7031684470 7904291097 8438021364 10539054796 10547526705 13173818495 14063368940 15808582194 21095053410 26347636990 31617164388 39521455485 42190106820 52695273980 79042910970 158085821940 218685387017 437370774034 656056161051 874741548068 1093426935085 1312112322102 2186853870170 2624224644204 3280280805255 4373707740340 6560561610510 13121123221020