Search a number
-
+
20112201003232 = 2513273142335801
BaseRepresentation
bin1001001001010101111001…
…00110001011000011100000
32122012201002212110000212001
410210222330212023003200
510114004241424100412
6110435230111013344
74144026042560242
oct444527446130340
978181085400761
1020112201003232
11645459a162488
122309a6750a254
13b2b7597a3b00
144d76158a0092
1524d2702e7957
hex124abc98b0e0

20112201003232 has 144 divisors (see below), whose sum is σ = 43495130323008. Its totient is φ = 9148706611200.

The previous prime is 20112201003221. The next prime is 20112201003239. The reversal of 20112201003232 is 23230010221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112201003239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561759732 + ... + 561795532.

It is an arithmetic number, because the mean of its divisors is an integer number (302049516132).

Almost surely, 220112201003232 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 20112201003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747565161504).

20112201003232 is an abundant number, since it is smaller than the sum of its proper divisors (23382929319776).

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

20112201003232 is a wasteful number, since it uses less digits than its factorization.

20112201003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37333 (or 37312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20112201003232 its reverse (23230010221102), we get a palindrome (43342211224334).

The spelling of 20112201003232 in words is "twenty trillion, one hundred twelve billion, two hundred one million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 169 208 292 338 416 584 676 949 1168 1352 1423 1898 2336 2704 2846 3796 5408 5692 7592 11384 12337 15184 18499 22768 24674 30368 35801 36998 45536 49348 71602 73996 98696 103879 143204 147992 197392 207758 240487 286408 295984 394784 415516 465413 480974 572816 591968 831032 930826 961948 1145632 1350427 1662064 1861652 1923896 2613473 2700854 3324128 3723304 3847792 5226946 5401708 6050369 7446608 7695584 10453892 10803416 12100738 14893216 17555551 20907784 21606832 24201476 33975149 35111102 41815568 43213664 48402952 50944823 67950298 70222204 83631136 96805904 101889646 135900596 140444408 193611808 203779292 271801192 280888816 407558584 441676937 543602384 561777632 662282699 815117168 883353874 1087204768 1324565398 1630234336 1766707748 2649130796 3533415496 3718972079 5298261592 7066830992 7437944158 8609675087 10596523184 14133661984 14875888316 17219350174 21193046368 29751776632 34438700348 48346637027 59503553264 68877400696 96693274054 119007106528 137754801392 193386548108 275509602784 386773096216 628506281351 773546192432 1257012562702 1547092384864 2514025125404 5028050250808 10056100501616 20112201003232