Search a number
-
+
22131133123232 = 257289573341191
BaseRepresentation
bin1010000100000110011100…
…10101000000101010100000
32220100201022201102020002202
411002003032111000222200
510400044030034420412
6115022522513032332
74442631052464410
oct502031625005240
986321281366082
1022131133123232
117062840766231
1225951b38556a8
13c46c593ca043
1456721c898640
15285a354023c2
hex1420ce540aa0

22131133123232 has 48 divisors (see below), whose sum is σ = 49795367432832. Its totient is φ = 9484710785280.

The previous prime is 22131133123171. The next prime is 22131133123237. The reversal of 22131133123232 is 23232133113122.

It is a junction number, because it is equal to n+sod(n) for n = 22131133123195 and 22131133123204.

It is not an unprimeable number, because it can be changed into a prime (22131133123237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64693757 + ... + 65034947.

It is an arithmetic number, because the mean of its divisors is an integer number (1037403488184).

Almost surely, 222131133123232 is an apocalyptic number.

It is an amenable number.

22131133123232 is an abundant number, since it is smaller than the sum of its proper divisors (27664234309600).

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

22131133123232 is a wasteful number, since it uses less digits than its factorization.

22131133123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630781 (or 630773 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

Adding to 22131133123232 its reverse (23232133113122), we get a palindrome (45363266236354).

The spelling of 22131133123232 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 289573 341191 579146 682382 1158292 1364764 2027011 2316584 2388337 2729528 4054022 4633168 4776674 5459056 8108044 9266336 9553348 10918112 16216088 19106696 32432176 38213392 64864352 76426784 98799701443 197599402886 395198805772 691597910101 790397611544 1383195820202 1580795223088 2766391640404 3161590446176 5532783280808 11065566561616 22131133123232