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13122413515230 = 23523327740116901
BaseRepresentation
bin1011111011110100110011…
…0010111101000111011110
31201110111020120010102020220
42332331030302331013132
53204444200324441410
643524204211022210
72523030432330345
oct276751462750736
951414216112226
1013122413515230
1141aa2033685a8
12157b26589a966
13742590bb0cb6
143351b1b08b5c
1517b526483070
hexbef4ccbd1de

13122413515230 has 128 divisors (see below), whose sum is σ = 31824185717376. Its totient is φ = 3462850560000.

The previous prime is 13122413515151. The next prime is 13122413515231. The reversal of 13122413515230 is 3251531422131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13122413515191 and 13122413515200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122413515231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776419780 + ... + 776436680.

It is an arithmetic number, because the mean of its divisors is an integer number (248626450917).

Almost surely, 213122413515230 is an apocalyptic number.

13122413515230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122413515230 is an abundant number, since it is smaller than the sum of its proper divisors (18701772202146).

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

13122413515230 is a wasteful number, since it uses less digits than its factorization.

13122413515230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17822.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 13122413515230 its reverse (3251531422131), we get a palindrome (16373944937361).

The spelling of 13122413515230 in words is "thirteen trillion, one hundred twenty-two billion, four hundred thirteen million, five hundred fifteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 233 277 401 466 554 699 802 831 1165 1203 1385 1398 1662 2005 2330 2406 2770 3495 4010 4155 6015 6990 8310 12030 16901 33802 50703 64541 84505 93433 101406 111077 129082 169010 186866 193623 222154 253515 280299 322705 333231 387246 467165 507030 555385 560598 645410 666462 934330 968115 1110770 1401495 1666155 1936230 2802990 3332310 3937933 4681577 6777301 7875866 9363154 11813799 13554602 14044731 19689665 20331903 23407885 23627598 25880941 28089462 33886505 39379330 40663806 46815770 51761882 59068995 67773010 70223655 77642823 101659515 118137990 129404705 140447310 155285646 203319030 258809410 388214115 776428230 1090807441 1579111133 1877312377 2181614882 3158222266 3272422323 3754624754 4737333399 5454037205 5631937131 6544844646 7895555665 9386561885 9474666798 10908074410 11263874262 15791111330 16362111615 18773123770 23686666995 28159685655 32724223230 47373333990 56319371310 437413783841 874827567682 1312241351523 2187068919205 2624482703046 4374137838410 6561206757615 13122413515230