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104311233135 = 335839309347
BaseRepresentation
bin110000100100101101…
…1110001101001101111
3100222020121222200022000
41201021123301221233
53202112133430020
6115530411423343
710351633565214
oct1411133615157
9328217880260
10104311233135
1140268a7639a
1218271754b53
139ab4a62b75
14509786db0b
152aa798c090
hex18496f1a6f

104311233135 has 32 divisors (see below), whose sum is σ = 187676455680. Its totient is φ = 54962378784.

The previous prime is 104311233109. The next prime is 104311233137. The reversal of 104311233135 is 531332113401.

104311233135 is a `hidden beast` number, since 10 + 4 + 311 + 2 + 331 + 3 + 5 = 666.

It is not a de Polignac number, because 104311233135 - 212 = 104311229039 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 104311233099 and 104311233108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104311233137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4643469 + ... + 4665878.

It is an arithmetic number, because the mean of its divisors is an integer number (5864889240).

Almost surely, 2104311233135 is an apocalyptic number.

104311233135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104311233135 is a deficient number, since it is larger than the sum of its proper divisors (83365222545).

104311233135 is an equidigital number, since it uses as much as digits as its factorization.

104311233135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9309444 (or 9309438 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 104311233135 its reverse (531332113401), we get a palindrome (635643346536).

The spelling of 104311233135 in words is "one hundred four billion, three hundred eleven million, two hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 83 135 249 415 747 1245 2241 3735 11205 9309347 27928041 46546735 83784123 139640205 251352369 418920615 772675801 1256761845 2318027403 3863379005 6954082209 11590137015 20862246627 34770411045 104311233135