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355121532441 = 32133035226773
BaseRepresentation
bin1010010101011101110…
…01001000111000011001
31020221122000211000002200
411022232321020320121
521304242103014231
6431050210520413
734441146135504
oct5125671107031
91227560730080
10355121532441
11127673935495
12589a9596109
132764596c7b0
141328bb2c13b
1593869b4be6
hex52aee48e19

355121532441 has 12 divisors (see below), whose sum is σ = 552411272868. Its totient is φ = 218536327584.

The previous prime is 355121532413. The next prime is 355121532443. The reversal of 355121532441 is 144235121553.

355121532441 is a `hidden beast` number, since 3 + 55 + 12 + 153 + 2 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224656092441 + 130465440000 = 473979^2 + 361200^2 .

It is not a de Polignac number, because 355121532441 - 27 = 355121532313 is a prime.

It is a super-2 number, since 2×3551215324412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355121532396 and 355121532405.

It is not an unprimeable number, because it can be changed into a prime (355121532443) 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 11 ways as a sum of consecutive naturals, for example, 1517613270 + ... + 1517613503.

It is an arithmetic number, because the mean of its divisors is an integer number (46034272739).

Almost surely, 2355121532441 is an apocalyptic number.

It is an amenable number.

355121532441 is a deficient number, since it is larger than the sum of its proper divisors (197289740427).

355121532441 is a wasteful number, since it uses less digits than its factorization.

355121532441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035226792 (or 3035226789 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 355121532441 its reverse (144235121553), we get a palindrome (499356653994).

The spelling of 355121532441 in words is "three hundred fifty-five billion, one hundred twenty-one million, five hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 3035226773 9105680319 27317040957 39457948049 118373844147 355121532441