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123531311064141 = 3260083322844453
BaseRepresentation
bin11100000101100111011111…
…111010100010010001001101
3121012101110220110112212220100
4130011213133322202101031
5112142414111113023031
61114421300104241313
735006562022031121
oct3405473772422115
9535343813485810
10123531311064141
11363a73757062a2
1211a31242170239
1353c0c4cc7c716
142270d39795581
15e434ed77ede6
hex7059dfea244d

123531311064141 has 12 divisors (see below), whose sum is σ = 178434420770268. Its totient is φ = 82354066704384.

The previous prime is 123531311064097. The next prime is 123531311064149. The reversal of 123531311064141 is 141460113135321.

It is a happy number.

123531311064141 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 3 + 1 + 3 + 1 + 1 + 0 + 641 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68511559763241 + 55019751300900 = 8277171^2 + 7417530^2 .

It is not a de Polignac number, because 123531311064141 - 210 = 123531311063117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123531311064096 and 123531311064105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123531311064149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6014730 + ... + 16829723.

It is an arithmetic number, because the mean of its divisors is an integer number (14869535064189).

Almost surely, 2123531311064141 is an apocalyptic number.

It is an amenable number.

123531311064141 is a deficient number, since it is larger than the sum of its proper divisors (54903109706127).

123531311064141 is a wasteful number, since it uses less digits than its factorization.

123531311064141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23445292 (or 23445289 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 123531311064141 its reverse (141460113135321), we get a palindrome (264991424199462).

The spelling of 123531311064141 in words is "one hundred twenty-three trillion, five hundred thirty-one billion, three hundred eleven million, sixty-four thousand, one hundred forty-one".

Divisors: 1 3 9 600833 1802499 5407497 22844453 68533359 205600077 13725701229349 41177103688047 123531311064141