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13413201210420 = 22351135357572329
BaseRepresentation
bin1100001100110000000100…
…0101111110110000110100
31202111021211001110212112120
43003030001011332300310
53224230214002213140
644305534540315540
72553033426055344
oct303140105766064
952437731425476
1013413201210420
114301563446950
121607699b42bb0
13763b2328766b
143452b956cd24
15183d94eca1d0
hexc330117ec34

13413201210420 has 96 divisors (see below), whose sum is σ = 41087299317120. Its totient is φ = 3242473512960.

The previous prime is 13413201210407. The next prime is 13413201210449. The reversal of 13413201210420 is 2401210231431.

It is a super-3 number, since 3×134132012104203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 28553185 + ... + 29019144.

It is an arithmetic number, because the mean of its divisors is an integer number (427992701220).

Almost surely, 213413201210420 is an apocalyptic number.

13413201210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413201210420 is an abundant number, since it is smaller than the sum of its proper divisors (27674098106700).

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

13413201210420 is a wasteful number, since it uses less digits than its factorization.

13413201210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57572705 (or 57572703 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13413201210420 its reverse (2401210231431), we get a palindrome (15814411441851).

The spelling of 13413201210420 in words is "thirteen trillion, four hundred thirteen billion, two hundred one million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 353 660 706 1059 1412 1765 2118 3530 3883 4236 5295 7060 7766 10590 11649 15532 19415 21180 23298 38830 46596 58245 77660 116490 232980 57572329 115144658 172716987 230289316 287861645 345433974 575723290 633295619 690867948 863584935 1151446580 1266591238 1727169870 1899886857 2533182476 3166478095 3454339740 3799773714 6332956190 7599547428 9499434285 12665912380 18998868570 20323032137 37997737140 40646064274 60969096411 81292128548 101615160685 121938192822 203230321370 223553353507 243876385644 304845482055 406460642740 447106707014 609690964110 670660060521 894213414028 1117766767535 1219381928220 1341320121042 2235533535070 2682640242084 3353300302605 4471067070140 6706600605210 13413201210420