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4123131330141 = 33491311015413
BaseRepresentation
bin111011111111111101110…
…001110011111001011101
3112121011112010000100212000
4323333331301303321131
51020023133110031031
612434050153432513
7603613016021655
oct73777561637135
915534463010760
104123131330141
11134a67916743a
1256711040b739
1323ba6a95a375
141037bc4b7365
15723bace73e6
hex3bffdc73e5d

4123131330141 has 16 divisors (see below), whose sum is σ = 6120783347520. Its totient is φ = 2743155933840.

The previous prime is 4123131330119. The next prime is 4123131330239. The reversal of 4123131330141 is 1410331313214.

4123131330141 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 1 + 313 + 301 + 41 = 666.

It is not a de Polignac number, because 4123131330141 - 27 = 4123131330013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123131330541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155494450 + ... + 155520963.

It is an arithmetic number, because the mean of its divisors is an integer number (382548959220).

Almost surely, 24123131330141 is an apocalyptic number.

It is an amenable number.

4123131330141 is a deficient number, since it is larger than the sum of its proper divisors (1997652017379).

4123131330141 is a wasteful number, since it uses less digits than its factorization.

4123131330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311015913 (or 311015907 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 4123131330141 its reverse (1410331313214), we get a palindrome (5533462643355).

The spelling of 4123131330141 in words is "four trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 27 491 1473 4419 13257 311015413 933046239 2799138717 8397416151 152708567783 458125703349 1374377110047 4123131330141