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12407114247331 = 17103139121741887
BaseRepresentation
bin1011010010001100000110…
…1000110010110010100011
31121221002221010100200110011
42310203001220302302203
53111234232221403311
642215425525145351
72420245600014256
oct264430150626243
947832833320404
1012407114247331
113a539115a3551
1214846b955b257
136bcca7bc551b
1430c71695b09d
15167b0e19e321
hexb48c1a32ca3

12407114247331 has 32 divisors (see below), whose sum is σ = 13371212574720. Its totient is φ = 11471011209216.

The previous prime is 12407114247289. The next prime is 12407114247337. The reversal of 12407114247331 is 13374241170421.

It is a happy number.

It is not a de Polignac number, because 12407114247331 - 229 = 12406577376419 is a prime.

It is a super-2 number, since 2×124071142473312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12407114247337) 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, 296183470 + ... + 296225356.

It is an arithmetic number, because the mean of its divisors is an integer number (417850392960).

Almost surely, 212407114247331 is an apocalyptic number.

12407114247331 is a deficient number, since it is larger than the sum of its proper divisors (964098327389).

12407114247331 is a wasteful number, since it uses less digits than its factorization.

12407114247331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43363.

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 12407114247331 in words is "twelve trillion, four hundred seven billion, one hundred fourteen million, two hundred forty-seven thousand, three hundred thirty-one".

Divisors: 1 17 103 139 1217 1751 2363 14317 20689 41887 125351 169163 243389 712079 2130967 2875771 4314361 5822293 17423789 50976479 73344137 98978981 296204413 599696179 866600143 5250577337 7085730581 10194835043 89259814729 120457419877 729830249843 12407114247331