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54310342122 = 23229157662693
BaseRepresentation
bin110010100101001001…
…100000110111101010
312012011222111020102200
4302211021200313222
51342211421421442
640541055041030
73631601201601
oct624511406752
9165158436380
1054310342122
112103a854973
12a638510176
135176a7071a
1428b2d8aa38
15162cebd34c
hexca5260dea

54310342122 has 48 divisors (see below), whose sum is σ = 122505612840. Its totient is φ = 17367831936.

The previous prime is 54310342091. The next prime is 54310342123. The reversal of 54310342122 is 22124301345.

54310342122 is a `hidden beast` number, since 5 + 4 + 310 + 342 + 1 + 2 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32198354721 + 22111987401 = 179439^2 + 148701^2 .

It is a super-2 number, since 2×543103421222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54310342123) by changing a digit.

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, 249393 + ... + 413300.

Almost surely, 254310342122 is an apocalyptic number.

54310342122 is an abundant number, since it is smaller than the sum of its proper divisors (68195270718).

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

54310342122 is a wasteful number, since it uses less digits than its factorization.

54310342122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662887 (or 662884 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54310342122 its reverse (22124301345), we get a palindrome (76434643467).

It can be divided in two parts, 543103 and 42122, that added together give a square (585225 = 7652).

The spelling of 54310342122 in words is "fifty-four billion, three hundred ten million, three hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 157 174 261 314 471 522 942 1413 2826 4553 9106 13659 27318 40977 81954 662693 1325386 1988079 3976158 5964237 11928474 19218097 38436194 57654291 104042801 115308582 172962873 208085602 312128403 345925746 624256806 936385209 1872770418 3017241229 6034482458 9051723687 18103447374 27155171061 54310342122