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131410401443310 = 2351110971879193189
BaseRepresentation
bin11101111000010001011110…
…010011000011110111101110
3122020021201012211011011001210
4131320101132103003313232
5114211012000232141220
61143253034403415250
736452042152156233
oct3570213623036756
9566251184134053
10131410401443310
1138964924830860
12128a4271684526
135842c420a4a32
142464423d8978a
15102d4459626e0
hex77845e4c3dee

131410401443310 has 128 divisors (see below), whose sum is σ = 344555014118400. Its totient is φ = 31810923371520.

The previous prime is 131410401443309. The next prime is 131410401443323. The reversal of 131410401443310 is 13344104014131.

It is a super-2 number, since 2×1314104014433102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680120196 + ... + 680313384.

It is an arithmetic number, because the mean of its divisors is an integer number (2691836047800).

Almost surely, 2131410401443310 is an apocalyptic number.

131410401443310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131410401443310 is an abundant number, since it is smaller than the sum of its proper divisors (213144612675090).

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

131410401443310 is a wasteful number, since it uses less digits than its factorization.

131410401443310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196186.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131410401443310 its reverse (13344104014131), we get a palindrome (144754505457441).

The spelling of 131410401443310 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred one million, four hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1097 1879 2194 3291 3758 5485 5637 6582 9395 10970 11274 12067 16455 18790 20669 24134 28185 32910 36201 41338 56370 60335 62007 72402 103345 120670 124014 181005 193189 206690 310035 362010 386378 579567 620070 965945 1159134 1931890 2061263 2125079 2897835 4122526 4250158 5795670 6183789 6375237 10306315 10625395 12367578 12750474 20612630 21250790 22673893 30918945 31876185 45347786 61837890 63752370 68021679 113369465 136043358 211928333 226738930 340108395 363002131 423856666 635784999 680216790 726004262 1059641665 1089006393 1271569998 1815010655 2119283330 2178012786 2331211663 3178924995 3630021310 3993023441 4662423326 5445031965 6357849990 6993634989 7986046882 10890063930 11656058315 11979070323 13987269978 19965117205 23312116630 23958140646 34968174945 39930234410 59895351615 69936349890 119790703230 398213337707 796426675414 1194640013121 1991066688535 2389280026242 3982133377070 4380346714777 5973200065605 8760693429554 11946400131210 13141040144331 21901733573885 26282080288662 43803467147770 65705200721655 131410401443310