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11034010210104 = 2332750177436313
BaseRepresentation
bin1010000010010000111001…
…0000100100111100111000
31110001211201010212100202200
42200210032100210330320
52421240123103210404
635244542044230200
72216116026201660
oct240441620447470
943054633770680
1011034010210104
113574552120172
1212a256b83b360
1362066c573c2b
142a20984311a0
151420473c3839
hexa090e424f38

11034010210104 has 96 divisors (see below), whose sum is σ = 34153647671520. Its totient is φ = 3152504291328.

The previous prime is 11034010210081. The next prime is 11034010210123. The reversal of 11034010210104 is 40101201043011.

11034010210104 is a `hidden beast` number, since 1 + 1 + 0 + 340 + 10 + 210 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25071052 + ... + 25507364.

It is an arithmetic number, because the mean of its divisors is an integer number (355767163245).

Almost surely, 211034010210104 is an apocalyptic number.

11034010210104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11034010210104 is an abundant number, since it is smaller than the sum of its proper divisors (23119637461416).

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

11034010210104 is a wasteful number, since it uses less digits than its factorization.

11034010210104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486509 (or 486502 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11034010210104 its reverse (40101201043011), we get a palindrome (51135211253115).

The spelling of 11034010210104 in words is "eleven trillion, thirty-four billion, ten million, two hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 50177 100354 150531 200708 301062 351239 401416 436313 451593 602124 702478 872626 903186 1053717 1204248 1308939 1404956 1745252 1806372 2107434 2617878 2809912 3054191 3161151 3490504 3612744 3926817 4214868 5235756 6108382 6322302 7853634 8429736 9162573 10471512 12216764 12644604 15707268 18325146 24433528 25289208 27487719 31414536 36650292 54975438 73300584 109950876 219901752 21892877401 43785754802 65678632203 87571509604 131357264406 153250141807 175143019208 197035896609 262714528812 306500283614 394071793218 459750425421 525429057624 613000567228 788143586436 919500850842 1226001134456 1379251276263 1576287172872 1839001701684 2758502552526 3678003403368 5517005105052 11034010210104