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131141324000421 = 32727927713589207
BaseRepresentation
bin11101110100010110111000…
…000010000100110010100101
3122012022222200100110210010200
4131310112320002010302211
5114142104412421003141
61142525254220141113
736423435155510400
oct3564267002046245
9565288610423120
10131141324000421
11388707a5607389
1212860098097799
13582375c801bc7
1424553b9a00d37
151026447db2ab6
hex7745b8084ca5

131141324000421 has 72 divisors (see below), whose sum is σ = 223947973566720. Its totient is φ = 73722203545536.

The previous prime is 131141324000389. The next prime is 131141324000473. The reversal of 131141324000421 is 124000423141131.

It is a happy number.

131141324000421 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 413 + 240 + 0 + 0 + 4 + 2 + 1 = 666.

It is not a de Polignac number, because 131141324000421 - 25 = 131141324000389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141324000821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2855800 + ... + 16445006.

It is an arithmetic number, because the mean of its divisors is an integer number (3110388521760).

Almost surely, 2131141324000421 is an apocalyptic number.

It is an amenable number.

131141324000421 is a deficient number, since it is larger than the sum of its proper divisors (92806649566299).

131141324000421 is a wasteful number, since it uses less digits than its factorization.

131141324000421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13589583 (or 13589573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131141324000421 its reverse (124000423141131), we get a palindrome (255141747141552).

The spelling of 131141324000421 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, four hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 79 147 237 277 441 553 711 831 1659 1939 2493 3871 4977 5817 11613 13573 17451 21883 34839 40719 65649 122157 153181 196947 459543 1072267 1378629 3216801 9650403 13589207 40767621 95124449 122302863 285373347 665871143 856120041 1073547353 1997613429 3220642059 3764210339 5992840287 7514831471 9661926177 11292631017 22544494413 26349472373 33877893051 52603820297 67633483239 79048417119 157811460891 184446306611 237145251357 297372616781 473434382673 553338919833 892117850343 1660016759499 2081608317467 2676353551029 6244824952401 14571258222269 18734474857203 43713774666807 131141324000421