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10404113334111 = 347237069112859
BaseRepresentation
bin1001011101100110010101…
…1110101011111101011111
31100211121211112202122110000
42113121211132223331133
52330430111003142421
634043330024145343
72122446425121120
oct227314536537537
940747745678400
1010404113334111
1133513a58191a2
121200478608253
135a6146a1a073
1427d7c1708047
1513097c9ec226
hex976657abf5f

10404113334111 has 80 divisors (see below), whose sum is σ = 18537282086400. Its totient is φ = 5685865492032.

The previous prime is 10404113334089. The next prime is 10404113334179. The reversal of 10404113334111 is 11143331140401.

10404113334111 is a `hidden beast` number, since 1 + 0 + 404 + 113 + 3 + 34 + 111 = 666.

It is not a de Polignac number, because 10404113334111 - 210 = 10404113333087 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404113374111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92130400 + ... + 92243258.

It is an arithmetic number, because the mean of its divisors is an integer number (231716026080).

Almost surely, 210404113334111 is an apocalyptic number.

10404113334111 is a deficient number, since it is larger than the sum of its proper divisors (8133168752289).

10404113334111 is a wasteful number, since it uses less digits than its factorization.

10404113334111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119970 (or 119961 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10404113334111 its reverse (11143331140401), we get a palindrome (21547444474512).

The spelling of 10404113334111 in words is "ten trillion, four hundred four billion, one hundred thirteen million, three hundred thirty-four thousand, one hundred eleven".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 7069 13041 21207 49483 63621 112859 148449 162587 190863 338577 445347 487761 572589 790013 1015731 1138109 1336041 1463283 2370039 2595757 3047193 3414327 4008123 4389849 7110117 7787271 9141579 10242981 13169547 18170299 21330351 23361813 30728943 54510897 63991053 70085439 92186829 163532691 210256317 490598073 797800271 1471794219 2393400813 5584601897 7180202439 16753805691 18349406233 21540607317 50261417073 55048218699 64621821951 128445843631 150784251219 165144656097 385337530893 452352753657 495433968291 1156012592679 1486301904873 3468037778037 10404113334111