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20010022323232 = 2531831791357703
BaseRepresentation
bin1001000110010111100100…
…10001011100010000100000
32121211221100212020021111111
410203023302101130100200
510110321011203320412
6110320251035153104
74133451002250064
oct443136221342040
977757325207444
1020010022323232
116415225a398a7
1222b20abba5794
13b21c247b8c06
144d26c1351aa4
1524a78eba32a7
hex1232f245c420

20010022323232 has 96 divisors (see below), whose sum is σ = 41385424711680. Its totient is φ = 9512168828160.

The previous prime is 20010022323229. The next prime is 20010022323241. The reversal of 20010022323232 is 23232322001002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14059293 + ... + 15416995.

It is an arithmetic number, because the mean of its divisors is an integer number (431098174080).

Almost surely, 220010022323232 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 20010022323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692712355840).

20010022323232 is an abundant number, since it is smaller than the sum of its proper divisors (21375402388448).

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

20010022323232 is a wasteful number, since it uses less digits than its factorization.

20010022323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358006 (or 1357998 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20010022323232 its reverse (23232322001002), we get a palindrome (43242344324234).

It can be divided in two parts, 2001002 and 2323232, that added together give a palindrome (4324234).

The spelling of 20010022323232 in words is "twenty trillion, ten billion, twenty-two million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 83 124 166 179 248 332 358 496 664 716 992 1328 1432 2573 2656 2864 5146 5549 5728 10292 11098 14857 20584 22196 29714 41168 44392 59428 82336 88784 118856 177568 237712 460567 475424 921134 1357703 1842268 2715406 3684536 5430812 7369072 10861624 14738144 21723248 42088793 43446496 84177586 112689349 168355172 225378698 243028837 336710344 450757396 486057674 673420688 901514792 972115348 1346841376 1803029584 1944230696 3493369819 3606059168 3888461392 6986739638 7533893947 7776922784 13973479276 15067787894 20171393471 27946958552 30135575788 40342786942 55893917104 60271151576 80685573884 111787834208 120542303152 161371147768 241084606304 322742295536 625313197601 645484591072 1250626395202 2501252790404 5002505580808 10005011161616 20010022323232