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13143203164 = 22721317928817
BaseRepresentation
bin11000011110110010…
…10101110101011100
31020220222020220021101
430033121111311130
5203404130000124
610012104242444
7643462245400
oct141731256534
936828226241
1013143203164
115634aa5083
122669770424
131315c60cc0
148c97a5100
1551dcdc644
hex30f655d5c

13143203164 has 72 divisors (see below), whose sum is σ = 28975922640. Its totient is φ = 5170281984.

The previous prime is 13143203123. The next prime is 13143203173. The reversal of 13143203164 is 46130234131.

It is a super-2 number, since 2×131432031642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441684 + ... + 470500.

It is an arithmetic number, because the mean of its divisors is an integer number (402443370).

Almost surely, 213143203164 is an apocalyptic number.

13143203164 is a gapful number since it is divisible by the number (14) 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 13143203164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487961320).

13143203164 is an abundant number, since it is smaller than the sum of its proper divisors (15832719476).

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

13143203164 is a wasteful number, since it uses less digits than its factorization.

13143203164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29027 (or 29018 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13143203164 its reverse (46130234131), we get a palindrome (59273437295).

The spelling of 13143203164 in words is "thirteen billion, one hundred forty-three million, two hundred three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 179 182 196 358 364 637 716 1253 1274 2327 2506 2548 4654 5012 8771 9308 16289 17542 28817 32578 35084 57634 65156 114023 115268 201719 228046 374621 403438 456092 749242 806876 1412033 1498484 2622347 2824066 5158243 5244694 5648132 10316486 10489388 18356429 20632972 36107701 36712858 67057159 72215402 73425716 134114318 144430804 252753907 268228636 469400113 505507814 938800226 1011015628 1877600452 3285800791 6571601582 13143203164