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2013342101310 = 235412818536829
BaseRepresentation
bin11101010011000100100…
…010100110111100111110
321010110210021100211012110
4131103010202212330332
5230441311034220220
64140525552314450
7265313331331431
oct35230442467476
97113707324173
102013342101310
11706943145aa1
12286248242a26
13117b1b784c87
146d63682b818
15375894a7be0
hex1d4c48a6f3e

2013342101310 has 128 divisors (see below), whose sum is σ = 4974042245760. Its totient is φ = 521244057600.

The previous prime is 2013342101293. The next prime is 2013342101317. The reversal of 2013342101310 is 131012433102.

It is a super-2 number, since 2×20133421013102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013342101317) 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, 294818976 + ... + 294825804.

It is an arithmetic number, because the mean of its divisors is an integer number (38859705045).

Almost surely, 22013342101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013342101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487021122880).

2013342101310 is an abundant number, since it is smaller than the sum of its proper divisors (2960700144450).

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

2013342101310 is a wasteful number, since it uses less digits than its factorization.

2013342101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2013342101310 its reverse (131012433102), we get a palindrome (2144354534412).

The spelling of 2013342101310 in words is "two trillion, thirteen billion, three hundred forty-two million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 281 410 562 615 843 853 1230 1405 1686 1706 2559 2810 4215 4265 5118 6829 8430 8530 11521 12795 13658 20487 23042 25590 34145 34563 34973 40974 57605 68290 69126 69946 102435 104919 115210 172815 174865 204870 209838 239693 279989 345630 349730 479386 524595 559978 719079 839967 1049190 1198465 1399945 1438158 1679934 1918949 2396930 2799890 3595395 3837898 4199835 5756847 5825137 7190790 8399670 9594745 9827413 11513694 11650274 17475411 19189490 19654826 28784235 29125685 29482239 34950822 49137065 57568470 58251370 58964478 78676909 87377055 98274130 147411195 157353818 174754110 236030727 238830617 294822390 393384545 472061454 477661234 716491851 786769090 1180153635 1194153085 1432983702 1636863497 2360307270 2388306170 3273726994 3582459255 4910590491 7164918510 8184317485 9821180982 16368634970 24552952455 49105904910 67111403377 134222806754 201334210131 335557016885 402668420262 671114033770 1006671050655 2013342101310