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13607134181 is a prime number
BaseRepresentation
bin11001010110000110…
…00110001111100101
31022010022020000222122
430223003012033211
5210331411243211
610130120035325
7661124506064
oct145303061745
938108200878
1013607134181
115852966343
122779002b45
13138b0c78b4
1493124c1db
155498cd6db
hex32b0c63e5

13607134181 has 2 divisors, whose sum is σ = 13607134182. Its totient is φ = 13607134180.

The previous prime is 13607134147. The next prime is 13607134207. The reversal of 13607134181 is 18143170631.

13607134181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7855276900 + 5751857281 = 88630^2 + 75841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13607134181 is a prime.

It is a super-2 number, since 2×136071341812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13607136181) 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 as a sum of consecutive naturals, namely, 6803567090 + 6803567091.

It is an arithmetic number, because the mean of its divisors is an integer number (6803567091).

Almost surely, 213607134181 is an apocalyptic number.

It is an amenable number.

13607134181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13607134181 is an equidigital number, since it uses as much as digits as its factorization.

13607134181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 13607134181 in words is "thirteen billion, six hundred seven million, one hundred thirty-four thousand, one hundred eighty-one".