Search a number
-
+
212322211120 = 24543737271163
BaseRepresentation
bin1100010110111101100…
…0111101010100110000
3202022001002200212102001
43011233120331110300
511434313441223440
6241312305503344
721224354005525
oct3055730752460
9668032625361
10212322211120
1182055397858
1235196341b54
131703915a466
14a3c281514c
1557ca13eb9a
hex316f63d530

212322211120 has 160 divisors (see below), whose sum is σ = 513194153472. Its totient is φ = 81634646016.

The previous prime is 212322211111. The next prime is 212322211147. The reversal of 212322211120 is 21112223212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182563659 + ... + 182564821.

Almost surely, 2212322211120 is an apocalyptic number.

212322211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212322211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256597076736).

212322211120 is an abundant number, since it is smaller than the sum of its proper divisors (300871942352).

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

212322211120 is a wasteful number, since it uses less digits than its factorization.

212322211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212322211120 its reverse (21112223212), we get a palindrome (233434434332).

The spelling of 212322211120 in words is "two hundred twelve billion, three hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 73 80 86 146 172 215 292 344 365 430 584 688 727 730 860 1163 1168 1454 1460 1720 2326 2908 2920 3139 3440 3635 4652 5815 5816 5840 6278 7270 9304 11630 11632 12556 14540 15695 18608 23260 25112 29080 31261 31390 46520 50009 50224 53071 58160 62522 62780 84899 93040 100018 106142 125044 125560 156305 169798 200036 212284 250045 250088 251120 265355 312610 339596 400072 424495 424568 500090 500176 530710 625220 679192 800144 845501 848990 849136 1000180 1061420 1250440 1358384 1691002 1697980 2000360 2122840 2282053 2500880 3382004 3395960 3650657 4000720 4227505 4245680 4564106 6764008 6791920 7301314 8455010 9128212 11410265 13528016 14602628 16910020 18253285 18256424 22820530 29205256 33820040 36356543 36506570 36512848 45641060 58410512 61721573 67640080 72713086 73013140 91282120 123443146 145426172 146026280 181782715 182564240 246886292 290852344 292052560 308607865 363565430 493772584 581704688 617215730 727130860 987545168 1234431460 1454261720 2468862920 2654027639 2908523440 4937725840 5308055278 10616110556 13270138195 21232221112 26540276390 42464442224 53080552780 106161105560 212322211120