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312434131341 = 323101373120193
BaseRepresentation
bin1001000101111101000…
…01101000000110001101
31002212110001221100100010
410202332201220012031
520104331114200331
6355310311423433
731400260204203
oct4427641500615
91085401840303
10312434131341
11110558a16202
1250675684b79
1323601bc5287
141119c68b073
1581d90d5e46
hex48be86818d

312434131341 has 32 divisors (see below), whose sum is σ = 440175428352. Its totient is φ = 196730265600.

The previous prime is 312434131319. The next prime is 312434131351. The reversal of 312434131341 is 143131434213.

It is not a de Polignac number, because 312434131341 - 29 = 312434130829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312434131299 and 312434131308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312434131301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2539341 + ... + 2659533.

It is an arithmetic number, because the mean of its divisors is an integer number (13755482136).

Almost surely, 2312434131341 is an apocalyptic number.

It is an amenable number.

312434131341 is a deficient number, since it is larger than the sum of its proper divisors (127741297011).

312434131341 is a wasteful number, since it uses less digits than its factorization.

312434131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120693.

The product of its digits is 10368, while the sum is 30.

Adding to 312434131341 its reverse (143131434213), we get a palindrome (455565565554).

The spelling of 312434131341 in words is "three hundred twelve billion, four hundred thirty-four million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 23 69 101 303 373 1119 2323 6969 8579 25737 37673 113019 120193 360579 866479 2599437 2764439 8293317 12139493 36418479 44831989 134495967 279208339 837625017 1031135747 3093407241 4528030889 13584092667 104144710447 312434131341