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13163305220142 = 23711592047923581
BaseRepresentation
bin1011111110001101001000…
…1000011011100000101110
31201121101210101002020221020
42333203102020123200232
53211131422114021032
643555050002115010
72526005655151050
oct277432210334056
951541711066836
1013163305220142
1142155876a2750
12158717834ba66
137463a99143ac
143371708b38d0
1517c61b3a8b2c
hexbf8d221b82e

13163305220142 has 128 divisors (see below), whose sum is σ = 33382150963200. Its totient is φ = 3360783830400.

The previous prime is 13163305220111. The next prime is 13163305220171. The reversal of 13163305220142 is 24102250336131.

13163305220142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131633052201423 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558204792 + ... + 558228372.

It is an arithmetic number, because the mean of its divisors is an integer number (260798054400).

Almost surely, 213163305220142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13163305220142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16691075481600).

13163305220142 is an abundant number, since it is smaller than the sum of its proper divisors (20218845743058).

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

13163305220142 is a wasteful number, since it uses less digits than its factorization.

13163305220142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44142.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 13163305220142 its reverse (24102250336131), we get a palindrome (37265555556273).

The spelling of 13163305220142 in words is "thirteen trillion, one hundred sixty-three billion, three hundred five million, two hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1298 1947 2478 3894 4543 9086 13629 20479 23581 27258 40958 47162 61437 70743 122874 141486 143353 165067 225269 259391 286706 330134 430059 450538 495201 518782 675807 778173 860118 990402 1208261 1351614 1391279 1556346 1576883 1815737 2416522 2782558 3153766 3624783 3631474 4173837 4730649 5447211 7249566 8347674 8457827 9461298 9738953 10894422 13290871 15304069 16915654 19477906 25373481 26581742 29216859 30608138 39872613 45912207 50746962 58433718 79745226 91824414 93036097 107128483 186072194 214256966 279108291 321385449 482915299 558216582 642770898 965830598 1448745897 2897491794 3380407093 5312068289 6760814186 10141221279 10624136578 15936204867 20282442558 28492002641 31872409734 37184478023 56984005282 74368956046 85476007923 111553434069 170952015846 199444018487 223106868138 313412029051 398888036974 598332055461 626824058102 940236087153 1196664110922 1880472174306 2193884203357 4387768406714 6581652610071 13163305220142