Search a number
-
+
20332221131312 = 24192101233314939
BaseRepresentation
bin1001001111101111101101…
…10100010110101000110000
32122222202000110010121010122
410213313312310112220300
510131110342102200222
6111124254325545412
74165645252032506
oct447676664265060
978882013117118
1020332221131312
116529934850182
12234462b875268
13b464216c73cc
145041287c6676
15253d4b161a42
hex127df6d16a30

20332221131312 has 120 divisors (see below), whose sum is σ = 42008607951120. Its totient is φ = 9530969817600.

The previous prime is 20332221131263. The next prime is 20332221131317. The reversal of 20332221131312 is 21313112223302.

It is a super-2 number, since 2×203322211313122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20332221131317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361008739 + ... + 1361023677.

It is an arithmetic number, because the mean of its divisors is an integer number (350071732926).

Almost surely, 220332221131312 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 20332221131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21004303975560).

20332221131312 is an abundant number, since it is smaller than the sum of its proper divisors (21676386819808).

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

20332221131312 is a wasteful number, since it uses less digits than its factorization.

20332221131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17419 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 20332221131312 its reverse (21313112223302), we get a palindrome (41645333354614).

The spelling of 20332221131312 in words is "twenty trillion, three hundred thirty-two billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 361 404 722 808 1444 1616 1919 2333 2888 3838 4666 5776 7676 9332 14939 15352 18664 29878 30704 36461 37328 44327 59756 72922 88654 119512 145844 177308 235633 239024 283841 291688 354616 471266 567682 583376 709232 842213 942532 1135364 1508839 1684426 1885064 2270728 3017678 3368852 3770128 4477027 4541456 5392979 6035356 6737704 8954054 10785958 12070712 13475408 17908108 21571916 24141424 28667941 34852687 35816216 43143832 57335882 69705374 71632432 85063513 86287664 114671764 139410748 170127026 229343528 278821496 340254052 458687056 544690879 557642992 662201053 680508104 1089381758 1324402106 1361016208 2178763516 2648804212 3520121387 4357527032 5297608424 7040242774 8715054064 10595216848 12581820007 14080485548 25163640014 28160971096 50327280028 56321942192 66882306353 100654560056 133764612706 201309120112 267529225412 535058450824 1070116901648 1270763820707 2541527641414 5083055282828 10166110565656 20332221131312