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12273837862341 = 31119193110137493
BaseRepresentation
bin1011001010011011100110…
…1111101110110111000101
31121110100220212022211120010
42302212321233232313011
53102043304443043331
642034305005500433
72404520100311136
oct262467157566705
947410825284503
1012273837862341
113a0233a549930
121462903571719
136b05582b9363
143060b22a1c8d
1516440d89ee46
hexb29b9beedc5

12273837862341 has 32 divisors (see below), whose sum is σ = 18802212871680. Its totient is φ = 7043529441600.

The previous prime is 12273837862339. The next prime is 12273837862361. The reversal of 12273837862341 is 14326873837221.

It is a happy number.

It is not a de Polignac number, because 12273837862341 - 21 = 12273837862339 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273837862361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3858010 + ... + 6279483.

It is an arithmetic number, because the mean of its divisors is an integer number (587569152240).

Almost surely, 212273837862341 is an apocalyptic number.

12273837862341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12273837862341 is a deficient number, since it is larger than the sum of its proper divisors (6528375009339).

12273837862341 is a wasteful number, since it uses less digits than its factorization.

12273837862341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139457.

The product of its digits is 16257024, while the sum is 57.

The spelling of 12273837862341 in words is "twelve trillion, two hundred seventy-three billion, eight hundred thirty-seven million, eight hundred sixty-two thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 1931 5793 21241 36689 63723 110067 403579 1210737 10137493 30412479 111512423 192612367 334537269 577837101 2118736037 6356208111 19575498983 58726496949 215330488813 371934480677 645991466439 1115803442031 4091279287447 12273837862341