Search a number
-
+
2232021130137 = 321925367193463
BaseRepresentation
bin100000011110101110110…
…100111001101110011001
321220101020101112111011100
4200132232310321232121
5243032134402131022
64425213143022013
7320154364366431
oct40365664715631
97811211474140
102232021130137
1179065a814aa7
123006b743a909
1313262b8b0616
147a05d5b52c1
153d0d77141ac
hex207aed39b99

2232021130137 has 72 divisors (see below), whose sum is σ = 3518610249024. Its totient is φ = 1362449170368.

The previous prime is 2232021130123. The next prime is 2232021130139. The reversal of 2232021130137 is 7310311202322.

2232021130137 is a `hidden beast` number, since 2 + 2 + 320 + 2 + 1 + 1 + 301 + 37 = 666.

It is not a de Polignac number, because 2232021130137 - 24 = 2232021130121 is a prime.

It is a super-3 number, since 3×22320211301373 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232021130137.

It is not an unprimeable number, because it can be changed into a prime (2232021130139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11440468 + ... + 11633930.

It is an arithmetic number, because the mean of its divisors is an integer number (48869586792).

Almost surely, 22232021130137 is an apocalyptic number.

It is an amenable number.

2232021130137 is a deficient number, since it is larger than the sum of its proper divisors (1286589118887).

2232021130137 is a wasteful number, since it uses less digits than its factorization.

2232021130137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193627 (or 193605 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 2232021130137 its reverse (7310311202322), we get a palindrome (9542332332459).

The spelling of 2232021130137 in words is "two trillion, two hundred thirty-two billion, twenty-one million, one hundred thirty thousand, one hundred thirty-seven".

Divisors: 1 3 9 19 53 57 67 159 171 201 361 477 603 1007 1083 1273 3021 3249 3551 3819 9063 10653 11457 19133 24187 31959 57399 67469 72561 172197 193463 202407 217683 580389 607221 1281911 1741167 3675797 3845733 10253539 11027391 11537199 12962021 30760617 33082173 38886063 69840143 92281851 116658189 194817241 209520429 246278399 584451723 628561287 686987113 738835197 1753355169 2060961339 2216505591 3701527579 4679289581 6182884017 11104582737 13052755147 14037868743 33313748211 39158265441 42113606229 117474796323 248002347793 744007043379 2232021130137