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13001343432 = 23371143163613
BaseRepresentation
bin11000001101111000…
…01100000111001000
31020120002022200022020
430012330030013020
5203111320442212
65550035524440
7640120411230
oct140674140710
936502280266
1013001343432
115571a12830
12262a159720
1312c275232c
148b49d8cc0
15511619d8c
hex306f0c1c8

13001343432 has 128 divisors (see below), whose sum is σ = 41466332160. Its totient is φ = 3298417920.

The previous prime is 13001343413. The next prime is 13001343491. The reversal of 13001343432 is 23434310031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2343 + ... + 161270.

It is an arithmetic number, because the mean of its divisors is an integer number (323955720).

Almost surely, 213001343432 is an apocalyptic number.

13001343432 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 13001343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733166080).

13001343432 is an abundant number, since it is smaller than the sum of its proper divisors (28464988728).

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

13001343432 is a wasteful number, since it uses less digits than its factorization.

13001343432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163683 (or 163679 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13001343432 its reverse (23434310031), we get a palindrome (36435653463).

The spelling of 13001343432 in words is "thirteen billion, one million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 258 264 301 308 344 462 473 516 602 616 903 924 946 1032 1204 1419 1806 1848 1892 2408 2838 3311 3612 3784 5676 6622 7224 9933 11352 13244 19866 26488 39732 79464 163613 327226 490839 654452 981678 1145291 1308904 1799743 1963356 2290582 3435873 3599486 3926712 4581164 5399229 6871746 7035359 7198972 9162328 10798458 12598201 13743492 14070718 14397944 21106077 21596916 25196402 27486984 28141436 37794603 42212154 43193832 49247513 50392804 56282872 75589206 77388949 84424308 98495026 100785608 147742539 151178412 154777898 168848616 196990052 232166847 295485078 302356824 309555796 393980104 464333694 541722643 590970156 619111592 928667388 1083445286 1181940312 1625167929 1857334776 2166890572 3250335858 4333781144 6500671716 13001343432