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131343540353312 = 2574519091297507
BaseRepresentation
bin11101110111010011001101…
…000100001111100100100000
3122020001022122011012212020012
4131313103031010033210200
5114203413032312301222
61143202220042304052
736444154241242550
oct3567231504174440
9566038564185205
10131343540353312
1138939534457291
1212893311ab8028
135839848059aa1
1424610c01b9160
15102b830bd41e2
hex7774cd10f920

131343540353312 has 48 divisors (see below), whose sum is σ = 295523847501120. Its totient is φ = 56289920779008.

The previous prime is 131343540353293. The next prime is 131343540353317. The reversal of 131343540353312 is 213353045343131.

It is a super-2 number, since 2×1313435403533122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131343540353312.

It is not an unprimeable number, because it can be changed into a prime (131343540353317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100578863 + ... + 101876369.

It is an arithmetic number, because the mean of its divisors is an integer number (6156746822940).

Almost surely, 2131343540353312 is an apocalyptic number.

It is an amenable number.

131343540353312 is an abundant number, since it is smaller than the sum of its proper divisors (164180307147808).

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

131343540353312 is a wasteful number, since it uses less digits than its factorization.

131343540353312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749433 (or 1749425 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 41.

Adding to 131343540353312 its reverse (213353045343131), we get a palindrome (344696585696443).

The spelling of 131343540353312 in words is "one hundred thirty-one trillion, three hundred forty-three billion, five hundred forty million, three hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 451909 903818 1297507 1807636 2595014 3163363 3615272 5190028 6326726 7230544 9082549 10380056 12653452 14461088 18165098 20760112 25306904 36330196 41520224 50613808 72660392 101227616 145320784 290641568 586355090863 1172710181726 2345420363452 4104485636041 4690840726904 8208971272082 9381681453808 16417942544164 18763362907616 32835885088328 65671770176656 131343540353312