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131565132423114 = 231343472713307631
BaseRepresentation
bin11101111010100001100100…
…111110111001111111001010
3122020211111121021210100011120
4131322201210332321333022
5114221030342400014424
61143452104253340110
736466160425614435
oct3572414476717712
9566744537710146
10131565132423114
1138a145063a2075
121290a254797636
135854700840c10
14246bb01bb081c
15103249ea58a79
hex77a864fb9fca

131565132423114 has 128 divisors (see below), whose sum is σ = 296240579002368. Its totient is φ = 38684477422080.

The previous prime is 131565132423077. The next prime is 131565132423217. The reversal of 131565132423114 is 411324231565131.

It is a super-2 number, since 2×1315651324231142 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427518079 + ... + 427825709.

It is an arithmetic number, because the mean of its divisors is an integer number (2314379523456).

Almost surely, 2131565132423114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131565132423114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148120289501184).

131565132423114 is an abundant number, since it is smaller than the sum of its proper divisors (164675446579254).

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

131565132423114 is a wasteful number, since it uses less digits than its factorization.

131565132423114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310452.

The product of its digits is 259200, while the sum is 42.

Adding to 131565132423114 its reverse (411324231565131), we get a palindrome (542889363988245).

The spelling of 131565132423114 in words is "one hundred thirty-one trillion, five hundred sixty-five billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 47 78 86 94 129 141 258 282 559 611 1118 1222 1677 1833 2021 2713 3354 3666 4042 5426 6063 8139 12126 16278 26273 35269 52546 70538 78819 105807 116659 127511 157638 211614 233318 255022 307631 349977 382533 615262 699954 765066 922893 1516567 1657643 1845786 3033134 3315286 3999203 4549701 4972929 5482973 7998406 9099402 9945858 10965946 11997609 13228133 14458657 16448919 23995218 26456266 28917314 32897838 39684399 43375971 71278649 79368798 86751942 142557298 171965729 187962541 213835947 343931458 375925082 427671894 515897187 563887623 621722251 834602903 1031794374 1127775246 1243444502 1669205806 1865166753 2503808709 3730333506 5007617418 8082389263 10849837739 16164778526 21699675478 24247167789 32549513217 35887924829 39226336441 48494335578 65099026434 71775849658 78452672882 107663774487 117679009323 215327548974 235358018646 466543022777 509942373733 933086045554 1019884747466 1399629068331 1529827121199 1686732466963 2799258136662 3059654242398 3373464933926 5060197400889 10120394801778 21927522070519 43855044141038 65782566211557 131565132423114