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21313231232232 = 2332953728379333
BaseRepresentation
bin1001101100010010111111…
…00100111001110011101000
32210110112011201201012100010
410312021133210321303220
510243143444143412412
6113155055133011520
74326554511225342
oct466113744716350
983415151635303
1021313231232232
1168779884398a5
122482792023ba0
13bb7aa1650c74
145397ccb64292
1526e61568633c
hex13625f939ce8

21313231232232 has 128 divisors (see below), whose sum is σ = 56168852803200. Its totient is φ = 6728998628352.

The previous prime is 21313231232219. The next prime is 21313231232273. The reversal of 21313231232232 is 23223213231312.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21313231232232.

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, 268615638 + ... + 268694970.

It is an arithmetic number, because the mean of its divisors is an integer number (438819162525).

Almost surely, 221313231232232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313231232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28084426401600).

21313231232232 is an abundant number, since it is smaller than the sum of its proper divisors (34855621570968).

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

21313231232232 is a wasteful number, since it uses less digits than its factorization.

21313231232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86707 (or 86703 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 21313231232232 its reverse (23223213231312), we get a palindrome (44536444463544).

The spelling of 21313231232232 in words is "twenty-one trillion, three hundred thirteen billion, two hundred thirty-one million, two hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 3074 4611 6148 7283 9222 12296 14566 18444 21849 29132 36888 43698 58264 79333 87396 158666 174792 211207 237999 317332 385999 422414 475998 633621 634664 771998 844828 951996 1157997 1267242 1543996 1689656 1903992 2300657 2315994 2534484 3087992 4204649 4601314 4631988 5068968 6901971 8409298 9202628 9263976 11193971 12613947 13803942 16818596 18405256 22387942 25227894 27607884 33581913 33637192 44775884 50455788 55215768 67163826 89551768 100911576 121934821 134327652 243869642 268655304 365804463 487739284 577782239 731608926 975478568 1155564478 1463217852 1733346717 2311128956 2926435704 3466693434 4622257912 6933386868 13866773736 16755684931 30622458667 33511369862 50267054793 61244917334 67022739724 91867376001 100534109586 122489834668 134045479448 183734752002 201068219172 244979669336 367469504004 402136438344 734939008008 888051301343 1776102602686 2664153904029 3552205205372 5328307808058 7104410410744 10656615616116 21313231232232