Search a number
-
+
13414103012310 = 23571113446690077
BaseRepresentation
bin1100001100110011011011…
…0110000101001111010110
31202111101010220101011011120
43003030312312011033112
53224234040332343220
644310204233144410
72553064656210360
oct303146666051726
952441126334146
1013414103012310
114301986499a70
1216078abb5b106
13763c38062250
14345363237d30
15183de9260a40
hexc3336d853d6

13414103012310 has 128 divisors (see below), whose sum is σ = 43225305467904. Its totient is φ = 2572934837760.

The previous prime is 13414103012293. The next prime is 13414103012329. The reversal of 13414103012310 is 1321030141431.

It is a happy number.

It is a super-2 number, since 2×134141030123102 (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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223315009 + ... + 223375068.

It is an arithmetic number, because the mean of its divisors is an integer number (337697698968).

Almost surely, 213414103012310 is an apocalyptic number.

13414103012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13414103012310 is an abundant number, since it is smaller than the sum of its proper divisors (29811202455594).

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

13414103012310 is a wasteful number, since it uses less digits than its factorization.

13414103012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446690118.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13414103012310 its reverse (1321030141431), we get a palindrome (14735133153741).

The spelling of 13414103012310 in words is "thirteen trillion, four hundred fourteen billion, one hundred three million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 446690077 893380154 1340070231 2233450385 2680140462 3126830539 4466900770 4913590847 5806971001 6253661078 6700351155 9380491617 9827181694 11613942002 13400702310 14740772541 15634152695 17420913003 18760983234 24567954235 29034855005 29481545082 31268305390 34395135929 34841826006 40648797007 46902458085 49135908470 58069710010 63876681011 68790271858 73703862705 81297594014 87104565015 93804916170 103185407787 121946391021 127753362022 147407725410 171975679645 174209130030 191630043033 203243985035 206370815574 243892782042 319383405055 343951359290 383260086066 406487970070 447136767077 515927038935 609731955105 638766810110 894273534154 958150215165 1031854077870 1219463910210 1341410301231 1916300430330 2235683835385 2682820602462 4471367670770 6707051506155 13414103012310