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12270137041161 = 337334131824007
BaseRepresentation
bin1011001010001101110100…
…1010001110000100001001
31121110000100221120122022000
42302203131022032010021
53102013220040304121
642032453444221213
72404326301664046
oct262433512160411
947400327518260
1012270137041161
113a0081052912a
12146205009a809
136b00b8668a3c
14305c4098a1cd
15164293a25526
hexb28dd28e109

12270137041161 has 32 divisors (see below), whose sum is σ = 18432403403520. Its totient is φ = 8065666979712.

The previous prime is 12270137041133. The next prime is 12270137041171. The reversal of 12270137041161 is 16114073107221.

12270137041161 is a `hidden beast` number, since 1 + 2 + 270 + 1 + 370 + 4 + 1 + 16 + 1 = 666.

It is not a de Polignac number, because 12270137041161 - 213 = 12270137032969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12270137041121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5815020 + ... + 7639026.

It is an arithmetic number, because the mean of its divisors is an integer number (576012606360).

Almost surely, 212270137041161 is an apocalyptic number.

It is an amenable number.

12270137041161 is a deficient number, since it is larger than the sum of its proper divisors (6162266362359).

12270137041161 is a wasteful number, since it uses less digits than its factorization.

12270137041161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827502 (or 1827496 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 12270137041161 in words is "twelve trillion, two hundred seventy billion, one hundred thirty-seven million, forty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 27 73 219 657 1971 3413 10239 30717 92151 249149 747447 1824007 2242341 5472021 6727023 16416063 49248189 133152511 399457533 1198372599 3595117797 6225335891 18676007673 56028023019 168084069057 454449520043 1363348560129 4090045680387 12270137041161