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12293749902231 = 3474143131269349
BaseRepresentation
bin1011001011100101110010…
…0110001000101110010111
31121112021022120100021020000
42302321130212020232113
53102410044433332411
642051400513542343
72406123403666440
oct262713446105627
947467276307200
1012293749902231
113a0a828360146
12146673bb749b3
136b23ac6a7695
14307040a0c2c7
15164bc6a43956
hexb2e5c988b97

12293749902231 has 320 divisors, whose sum is σ = 22314289536000. Its totient is φ = 6599509862400.

The previous prime is 12293749902229. The next prime is 12293749902233. The reversal of 12293749902231 is 13220994739221.

12293749902231 is a `hidden beast` number, since 1 + 2 + 293 + 7 + 49 + 90 + 223 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12293749902229) and next prime (12293749902233).

It is not a de Polignac number, because 12293749902231 - 21 = 12293749902229 is a prime.

It is a super-2 number, since 2×122937499022312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293749902233) 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 319 ways as a sum of consecutive naturals, for example, 35225644245 + ... + 35225644593.

It is an arithmetic number, because the mean of its divisors is an integer number (69732154800).

Almost surely, 212293749902231 is an apocalyptic number.

12293749902231 is a deficient number, since it is larger than the sum of its proper divisors (10020539633769).

12293749902231 is a wasteful number, since it uses less digits than its factorization.

12293749902231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12293749902231 in words is "twelve trillion, two hundred ninety-three billion, seven hundred forty-nine million, nine hundred two thousand, two hundred thirty-one".