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1004120134104 = 233107993874279
BaseRepresentation
bin11101001110010100011…
…10010101000111011000
310112222210212011220221110
432213022032111013120
5112422414223242404
62045141511140320
7132355014212553
oct16471216250730
93488725156843
101004120134104
113579327026aa
121427319746a0
13738c3a60209
143685770d69a
151b1bd31bb89
hexe9ca3951d8

1004120134104 has 32 divisors (see below), whose sum is σ = 2510533440000. Its totient is φ = 334675630752.

The previous prime is 1004120134093. The next prime is 1004120134169. The reversal of 1004120134104 is 4014310214001.

1004120134104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10041201341043 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677964 + ... + 2196315.

It is an arithmetic number, because the mean of its divisors is an integer number (78454170000).

Almost surely, 21004120134104 is an apocalyptic number.

It is an amenable number.

1004120134104 is an abundant number, since it is smaller than the sum of its proper divisors (1506413305896).

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

1004120134104 is a wasteful number, since it uses less digits than its factorization.

1004120134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885087 (or 3885083 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1004120134104 its reverse (4014310214001), we get a palindrome (5018430348105).

The spelling of 1004120134104 in words is "one trillion, four billion, one hundred twenty million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 10799 21598 32397 43196 64794 86392 129588 259176 3874279 7748558 11622837 15497116 23245674 30994232 46491348 92982696 41838338921 83676677842 125515016763 167353355684 251030033526 334706711368 502060067052 1004120134104