Search a number
-
+
2032131322221 = 3711134757724953
BaseRepresentation
bin11101100100100100011…
…101110011000101101101
321012021021201121010210020
4131210210131303011231
5231243301104302341
64153314230432353
7266550052144230
oct35444435630555
97167251533706
102032131322221
11713905176840
12289a108026b9
13119824363080
14704d9db9417
1537cd8ca9566
hex1d92477316d

2032131322221 has 128 divisors (see below), whose sum is σ = 3721932619776. Its totient is φ = 952024596480.

The previous prime is 2032131322163. The next prime is 2032131322241. The reversal of 2032131322221 is 1222231312302.

It is not a de Polignac number, because 2032131322221 - 27 = 2032131322093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2032131322191 and 2032131322200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032131322241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81425881 + ... + 81450833.

It is an arithmetic number, because the mean of its divisors is an integer number (29077598592).

Almost surely, 22032131322221 is an apocalyptic number.

2032131322221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2032131322221 is a deficient number, since it is larger than the sum of its proper divisors (1689801297555).

2032131322221 is a wasteful number, since it uses less digits than its factorization.

2032131322221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25611.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2032131322221 its reverse (1222231312302), we get a palindrome (3254362634523).

The spelling of 2032131322221 in words is "two trillion, thirty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 329 429 517 577 611 987 1001 1551 1731 1833 3003 3619 4039 4277 6347 6721 7501 10857 12117 12831 19041 20163 22503 24953 27119 44429 47047 52507 74859 81357 82511 133287 141141 157521 174671 189833 247533 274483 298309 324389 352547 524013 569499 577577 823449 894927 973167 1057641 1172791 1732731 1921381 2088163 2270723 2467829 3518373 3568279 3878017 5764143 6264489 6812169 7403487 8209537 10704837 11634051 12900701 14397881 15246283 24628611 24977953 27146119 38702103 43193643 45738849 74933859 81438357 90304907 100785167 106723981 158376691 167709113 187172453 270914721 302355501 320171943 475130073 503127339 561517359 676700407 1108636837 1173963791 1310207171 2030101221 2058896983 3325910511 3521891373 3930621513 4736902849 6176690949 7443704477 8797105291 14210708547 14412278881 22331113431 26391315873 43236836643 52105931339 61579737037 96768158201 156317794017 184739211111 290304474603 677377107407 2032131322221