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13042104132 = 22317211293331
BaseRepresentation
bin11000010010101111…
…01011011101000100
31020122221000112110210
430021113223131010
5203202234313012
65554053315420
7641124025131
oct141127533504
936587015423
1013042104132
115592a22962
12263b935b70
1312cb0241a5
148ba1a9588
15514ebc23c
hex3095eb744

13042104132 has 72 divisors (see below), whose sum is σ = 32365315360. Its totient is φ = 4086789120.

The previous prime is 13042104113. The next prime is 13042104169. The reversal of 13042104132 is 23140124031.

13042104132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13042104099 and 13042104108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3913707 + ... + 3917037.

Almost surely, 213042104132 is an apocalyptic number.

13042104132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042104132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182657680).

13042104132 is an abundant number, since it is smaller than the sum of its proper divisors (19323211228).

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

13042104132 is a wasteful number, since it uses less digits than its factorization.

13042104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13042104132 its reverse (23140124031), we get a palindrome (36182228163).

The spelling of 13042104132 in words is "thirteen billion, forty-two million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1129 1156 1734 2258 3331 3387 3468 4516 6662 6774 9993 13324 13548 19193 19986 38386 39972 56627 57579 76772 113254 115158 169881 226508 230316 326281 339762 652562 679524 962659 978843 1305124 1925318 1957686 2887977 3760699 3850636 3915372 5775954 7521398 11282097 11551908 15042796 22564194 45128388 63931883 127863766 191795649 255727532 383591298 767182596 1086842011 2173684022 3260526033 4347368044 6521052066 13042104132