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220020320112 = 243195918232243
BaseRepresentation
bin1100110011101000111…
…0111010011101110000
3210000220121001022200220
43030322032322131300
512101100200220422
6245024223013040
721616210602135
oct3147216723560
9700817038626
10220020320112
1185345809aaa
123678443a180
1317994c8cb38
14a912d7658c
155acada5e5c
hex333a3ba770

220020320112 has 160 divisors (see below), whose sum is σ = 609046732800. Its totient is φ = 68234570496.

The previous prime is 220020319993. The next prime is 220020320119. The reversal of 220020320112 is 211023020022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220020320091 and 220020320100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020320119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98090863 + ... + 98093105.

It is an arithmetic number, because the mean of its divisors is an integer number (3806542080).

Almost surely, 2220020320112 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 220020320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304523366400).

220020320112 is an abundant number, since it is smaller than the sum of its proper divisors (389026412688).

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

220020320112 is a wasteful number, since it uses less digits than its factorization.

220020320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220020320112 its reverse (211023020022), we get a palindrome (431043340134).

The spelling of 220020320112 in words is "two hundred twenty billion, twenty million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 708 912 944 1121 1416 1823 2242 2243 2832 3363 3646 4484 4486 5469 6726 6729 7292 8968 8972 10938 13452 13458 14584 17936 17944 21876 26904 26916 29168 34637 35888 42617 43752 53808 53832 69274 85234 87504 103911 107557 107664 127851 132337 138548 170468 207822 215114 255702 264674 277096 322671 340936 397011 415644 430228 511404 529348 554192 645342 681872 794022 831288 860456 1022808 1058696 1290684 1588044 1662576 1720912 2043583 2045616 2117392 2514403 2581368 3176088 4087166 4088989 5028806 5162736 6130749 6352176 7543209 8174332 8177978 10057612 12261498 12266967 15086418 16348664 16355956 20115224 24522996 24533934 30172836 32697328 32711912 40230448 49045992 49067868 60345672 65423824 77690791 98091984 98135736 120691344 155381582 196271472 233072373 241250351 310763164 466144746 482500702 621526328 723751053 932289492 965001404 1243052656 1447502106 1864578984 1930002808 2895004212 3729157968 3860005616 4583756669 5790008424 9167513338 11580016848 13751270007 18335026676 27502540014 36670053352 55005080028 73340106704 110010160056 220020320112