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10313014133124 = 22332414494571931
BaseRepresentation
bin1001011000010010111110…
…0010110100000110000100
31100111220200200112202001000
42112010233202310012010
52322432023104224444
633533422220133300
72113043050520013
oct226045742640604
940456620482030
1010313014133124
1133167a768913a
1211a6893697230
1359a689266a01
1427921c838a7a
1512d3e9de6469
hex9612f8b4184

10313014133124 has 192 divisors, whose sum is σ = 26981029152000. Its totient is φ = 3406543257600.

The previous prime is 10313014133117. The next prime is 10313014133137. The reversal of 10313014133124 is 42133141031301.

10313014133124 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 301 + 4 + 1 + 331 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5340762439 + ... + 5340764369.

It is an arithmetic number, because the mean of its divisors is an integer number (140526193500).

Almost surely, 210313014133124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313014133124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490514576000).

10313014133124 is an abundant number, since it is smaller than the sum of its proper divisors (16668015018876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10313014133124 is a wasteful number, since it uses less digits than its factorization.

10313014133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3083 counting only the distinct ones).

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

Adding to 10313014133124 its reverse (42133141031301), we get a palindrome (52446155164425).

The spelling of 10313014133124 in words is "ten trillion, three hundred thirteen billion, fourteen million, one hundred thirty-three thousand, one hundred twenty-four".