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123030473049 = 3611211812
BaseRepresentation
bin111001010010100110…
…0000000100101011001
3102202120012112121000000
41302211030000211121
54003431300114144
6132304110003213
711613544523541
oct1624514004531
9382505477000
10123030473049
11481a4549400
121ba167a6509
13b7a8caaca3
145d51a02321
153301068769
hex1ca5300959

123030473049 has 63 divisors (see below), whose sum is σ = 202926837967. Its totient is φ = 74500786800.

The previous prime is 123030473009. The next prime is 123030473081. The reversal of 123030473049 is 940374030321.

The square root of 123030473049 is 350757.

It is a perfect power (a square), and thus also a powerful number.

123030473049 is a `hidden beast` number, since 1 + 2 + 303 + 0 + 47 + 304 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112833512649 + 10196960400 = 335907^2 + 100980^2 .

It is not a de Polignac number, because 123030473049 - 27 = 123030472921 is a prime.

It is a super-3 number, since 3×1230304730493 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123030473009) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 104174239 + ... + 104175419.

Almost surely, 2123030473049 is an apocalyptic number.

123030473049 is the 350757-th square number.

123030473049 is the 175379-th centered octagonal number.

It is an amenable number.

123030473049 is a deficient number, since it is larger than the sum of its proper divisors (79896364918).

123030473049 is an frugal number, since it uses more digits than its factorization.

123030473049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 123030473049 by its sum of digits (36), we get a square (4429097029764 = 21045422).

The spelling of 123030473049 in words is "one hundred twenty-three billion, thirty million, four hundred seventy-three thousand, forty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 1181 2673 3267 3543 8019 9801 10629 12991 29403 31887 38973 88209 95661 116919 142901 286983 350757 428703 860949 1052271 1286109 1394761 3156813 3858327 4184283 9470439 11574981 12552849 15342371 34724943 37658547 46027113 104174829 112975641 138081339 168766081 338926923 414244017 506298243 1016780769 1242732051 1518894729 3728196153 4556684187 11184588459 13670052561 41010157683 123030473049