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131141100003214 = 27103229580768389
BaseRepresentation
bin11101110100010110101010…
…101011100101111110001110
3122012022222002201222112201211
4131310112222223211332032
5114142103433100100324
61142525220055125034
736423426465535330
oct3564265253457616
9565288081875654
10131141100003214
11388706a0123a24
121286003507377a
135823725294c92
142455397d73450
1510264333b8294
hex7745aaae5f8e

131141100003214 has 64 divisors (see below), whose sum is σ = 228029811609600. Its totient is φ = 55404265742208.

The previous prime is 131141100003187. The next prime is 131141100003229. The reversal of 131141100003214 is 412300001141131.

It is a super-2 number, since 2×1311411000032142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917541732 + ... + 1917610120.

It is an arithmetic number, because the mean of its divisors is an integer number (3562965806400).

Almost surely, 2131141100003214 is an apocalyptic number.

131141100003214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131141100003214 is a deficient number, since it is larger than the sum of its proper divisors (96888711606386).

131141100003214 is a wasteful number, since it uses less digits than its factorization.

131141100003214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74537.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131141100003214 its reverse (412300001141131), we get a palindrome (543441101144345).

The spelling of 131141100003214 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, three thousand, two hundred fourteen".

Divisors: 1 2 7 14 103 206 229 458 721 1442 1603 3206 5807 11614 23587 40649 47174 68389 81298 136778 165109 330218 478723 598121 957446 1196242 1329803 2659606 4186847 7044067 8373694 9308621 14088134 15661081 18617242 31322162 49308469 98616938 109627567 136969709 219255134 273939418 397134923 794269846 958787963 1613091343 1917575926 2779944461 3226182686 5559888922 11291639401 22583278802 40904897069 81809794138 90943897367 181887794734 286334279483 572668558966 636607281569 1273214563138 9367221428801 18734442857602 65570550001607 131141100003214