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13127354028 = 22322111728193
BaseRepresentation
bin11000011100111001…
…11000011010101100
31020212212102200100100
430032130320122230
5203341100312103
610010340431100
7643210445115
oct141634703254
936785380310
1013127354028
11562705a418
1226643a8490
1313128a2009
148c763b20c
1551c70b5a3
hex30e7386ac

13127354028 has 36 divisors (see below), whose sum is σ = 33340318648. Its totient is φ = 4355043840.

The previous prime is 13127354027. The next prime is 13127354039. The reversal of 13127354028 is 82045372131.

13127354028 is a `hidden beast` number, since 13 + 12 + 73 + 540 + 28 = 666.

13127354028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13127353983 and 13127354001.

It is not an unprimeable number, because it can be changed into a prime (13127354021) 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 11 ways as a sum of consecutive naturals, for example, 856501 + ... + 871692.

Almost surely, 213127354028 is an apocalyptic number.

13127354028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13127354028 is an abundant number, since it is smaller than the sum of its proper divisors (20212964620).

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

13127354028 is a wasteful number, since it uses less digits than its factorization.

13127354028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728414 (or 1728409 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13127354028 in words is "thirteen billion, one hundred twenty-seven million, three hundred fifty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 1728193 3456386 5184579 6912772 10369158 15553737 20738316 31107474 62214948 364648723 729297446 1093946169 1458594892 2187892338 3281838507 4375784676 6563677014 13127354028