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20222010003312 = 24331326171375921
BaseRepresentation
bin1001001100100010011011…
…01110010000111101110000
32122121012112122110012121000
410212101031232100331300
510122304134030101222
6111001510235002000
74154664154636515
oct446211556207560
978535478405530
1020222010003312
116497119507517
1223271b2299300
13b38c095480c0
144dca7156530c
1525104a7629ac
hex12644db90f70

20222010003312 has 160 divisors (see below), whose sum is σ = 62533563498560. Its totient is φ = 6219774812160.

The previous prime is 20222010003289. The next prime is 20222010003317. The reversal of 20222010003312 is 21330001022202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222010003317) 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, 14009112 + ... + 15385032.

It is an arithmetic number, because the mean of its divisors is an integer number (390834771866).

Almost surely, 220222010003312 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 20222010003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31266781749280).

20222010003312 is an abundant number, since it is smaller than the sum of its proper divisors (42311553495248).

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

20222010003312 is a wasteful number, since it uses less digits than its factorization.

20222010003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378568 (or 1378556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20222010003312 its reverse (21330001022202), we get a palindrome (41552011025514).

The spelling of 20222010003312 in words is "twenty trillion, two hundred twenty-two billion, ten million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2617 2808 5234 5616 7851 10468 15702 20936 23553 31404 34021 41872 47106 62808 68042 70659 94212 102063 125616 136084 141318 188424 204126 272168 282636 306189 376848 408252 544336 565272 612378 816504 918567 1130544 1224756 1375921 1633008 1837134 2449512 2751842 3674268 4127763 4899024 5503684 7348536 8255526 11007368 12383289 14697072 16511052 17886973 22014736 24766578 33022104 35773946 37149867 49533156 53660919 66044208 71547892 74299734 99066312 107321838 143095784 148599468 160982757 198132624 214643676 286191568 297198936 321965514 429287352 482948271 594397872 643931028 858574704 965896542 1287862056 1931793084 2575724112 3600785257 3863586168 7201570514 7727172336 10802355771 14403141028 21604711542 28806282056 32407067313 43209423084 46810208341 57612564112 64814134626 86418846168 93620416682 97221201939 129628269252 140430625023 172837692336 187240833364 194442403878 259256538504 280861250046 374481666728 388884807756 421291875069 518513077008 561722500092 748963333456 777769615512 842583750138 1123445000184 1263875625207 1555539231024 1685167500276 2246890000368 2527751250414 3370335000552 5055502500828 6740670001104 10111005001656 20222010003312