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123053355243 = 327131391080923
BaseRepresentation
bin111001010011010001…
…1010011000011101011
3102202121210121010110200
41302212203103003223
54004003124331433
6132310244243243
711614243155510
oct1624643230353
9382553533420
10123053355243
1148206458105
121ba223a0523
13b7b0960250
145d54a7b307
153303088613
hex1ca68d30eb

123053355243 has 48 divisors (see below), whose sum is σ = 220335548160. Its totient is φ = 64440245952.

The previous prime is 123053355221. The next prime is 123053355253. The reversal of 123053355243 is 342553350321.

123053355243 is a `hidden beast` number, since 1 + 2 + 30 + 5 + 33 + 552 + 43 = 666.

It is not a de Polignac number, because 123053355243 - 213 = 123053347051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123053355198 and 123053355207.

It is not an unprimeable number, because it can be changed into a prime (123053355253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426621 + ... + 654302.

It is an arithmetic number, because the mean of its divisors is an integer number (4590323920).

Almost surely, 2123053355243 is an apocalyptic number.

123053355243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123053355243 is a deficient number, since it is larger than the sum of its proper divisors (97282192917).

123053355243 is a wasteful number, since it uses less digits than its factorization.

123053355243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081088 (or 1081085 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 123053355243 in words is "one hundred twenty-three billion, fifty-three million, three hundred fifty-five thousand, two hundred forty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 139 273 417 819 973 1251 1807 2919 5421 8757 12649 16263 37947 113841 1080923 3242769 7566461 9728307 14051999 22699383 42155997 68098149 98363993 126467991 150248297 295091979 450744891 885275937 1051738079 1352234673 1953227861 3155214237 5859683583 9465642711 13672595027 17579050749 41017785081 123053355243