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13273112061 = 34112611492
BaseRepresentation
bin11000101110010001…
…11001110111111101
31021021000200221210000
430113020321313331
5204140404041221
610033024504513
7646630406466
oct142710716775
937230627700
1013273112061
1156a1364600
1226a517b139
131336b47181
148dcb3dd6d
1552a3ede26
hex317239dfd

13273112061 has 90 divisors (see below), whose sum is σ = 22301067866. Its totient is φ = 7859332800.

The previous prime is 13273112057. The next prime is 13273112089. The reversal of 13273112061 is 16021137231.

13273112061 is a `hidden beast` number, since 1 + 327 + 311 + 20 + 6 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1521468036 + 11751644025 = 39006^2 + 108405^2 .

It is not a de Polignac number, because 13273112061 - 22 = 13273112057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13273112261) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 89081215 + ... + 89081363.

Almost surely, 213273112061 is an apocalyptic number.

13273112061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13273112061 is a deficient number, since it is larger than the sum of its proper divisors (9027955805).

13273112061 is an equidigital number, since it uses as much as digits as its factorization.

13273112061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 13273112061 its reverse (16021137231), we get a palindrome (29294249292).

The spelling of 13273112061 in words is "thirteen billion, two hundred seventy-three million, one hundred twelve thousand, sixty-one".

Divisors: 1 3 9 11 27 33 61 81 99 121 149 183 297 363 447 549 671 891 1089 1341 1639 1647 2013 3267 4023 4917 4941 6039 7381 9089 9801 12069 14751 18029 18117 22143 22201 27267 44253 54087 54351 66429 66603 81801 99979 132759 162261 199287 199809 244211 245403 299937 486783 597861 599427 732633 736209 899811 1099769 1354261 1460349 1798281 2197899 2686321 2699433 3299307 4062783 6593697 8058963 8098299 9897921 12188349 14896871 19781091 24176889 29693763 36565047 44690613 72530667 89081289 109695141 134071839 163865581 217592001 402215517 491596743 1206646551 1474790229 4424370687 13273112061