Search a number
-
+
22312120203002 = 272472103066861
BaseRepresentation
bin1010001001010111100011…
…11111111011011011111010
32221000000111000112111020102
411010223301333323123322
510411030210232444002
6115242014014155402
74461666065334200
oct504536177733372
987000430474212
1022312120203002
1171225761a7013
1226042a3ab2b62
13c5b0406a6956
14571cab7db070
1528a5c95d8a02
hex144af1ffb6fa

22312120203002 has 36 divisors (see below), whose sum is σ = 39778346188314. Its totient is φ = 9358883155440.

The previous prime is 22312120202989. The next prime is 22312120203019. The reversal of 22312120203002 is 20030202121322.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16028820967201 + 6283299235801 = 4003601^2 + 2506651^2 .

It is a super-3 number, since 3×223121202030023 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51316949 + ... + 51749912.

Almost surely, 222312120203002 is an apocalyptic number.

22312120203002 is a deficient number, since it is larger than the sum of its proper divisors (17466225985312).

22312120203002 is a wasteful number, since it uses less digits than its factorization.

22312120203002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103066971 (or 103066917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22312120203002 its reverse (20030202121322), we get a palindrome (42342322324324).

The spelling of 22312120203002 in words is "twenty-two trillion, three hundred twelve billion, one hundred twenty million, two hundred three thousand, two".

Divisors: 1 2 7 14 47 49 94 98 329 658 2209 2303 4418 4606 15463 30926 108241 216482 103066861 206133722 721468027 1442936054 4844142467 5050276189 9688284934 10100552378 33908997269 67817994538 227674695949 237362980883 455349391898 474725961766 1593722871643 3187445743286 11156060101501 22312120203002