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210022001110032 = 243417431033113903
BaseRepresentation
bin101111110000001110001110…
…110001010110110000010000
31000112121220111100211111112220
4233300032032301112300100
5210012000024241010112
62022402435250421040
762144405655223056
oct5760161661266020
91015556440744486
10210022001110032
1160a12915400a31
121b67b807291780
139025cb35676b7
1439c1194b021d6
15194324a77e98c
hexbf038ec56c10

210022001110032 has 160 divisors (see below), whose sum is σ = 556631869280256. Its totient is φ = 68196405580800.

The previous prime is 210022001110013. The next prime is 210022001110111. The reversal of 210022001110032 is 230011100220012.

It is a junction number, because it is equal to n+sod(n) for n = 210022001109993 and 210022001110020.

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, 15106229193 + ... + 15106243095.

Almost surely, 2210022001110032 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 210022001110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278315934640128).

210022001110032 is an abundant number, since it is smaller than the sum of its proper divisors (346609868170224).

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

210022001110032 is a wasteful number, since it uses less digits than its factorization.

210022001110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25029 (or 25023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 210022001110032 its reverse (230011100220012), we get a palindrome (440033101330044).

The spelling of 210022001110032 in words is "two hundred ten trillion, twenty-two billion, one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 743 984 1486 1968 2229 2972 4458 5944 8916 10331 11888 13903 17832 20662 27806 30463 30993 35664 41324 41709 55612 60926 61986 82648 83418 91389 111224 121852 123972 165296 166836 182778 222448 243704 247944 333672 365556 423571 487408 495888 570023 667344 731112 847142 1140046 1270713 1462224 1694284 1710069 2280092 2541426 3388568 3420138 4560184 5082852 6777136 6840276 7675933 9120368 10165704 10329929 13680552 15351866 20331408 20659858 23027799 27361104 30703732 30989787 41319716 46055598 61407464 61979574 82639432 92111196 122814928 123959148 143631893 165278864 184222392 247918296 287263786 314713253 368444784 423527089 430895679 495836592 574527572 629426506 847054178 861791358 944139759 1149055144 1258853012 1270581267 1694108356 1723582716 1888279518 2298110288 2517706024 2541162534 3388216712 3447165432 3776559036 5035412048 5082325068 5888907613 6776433424 6894330864 7553118072 10164650136 11777815226 15106236144 17666722839 20329300272 23555630452 35333445678 47111260904 70666891356 94222521808 106718496499 141333782712 213436992998 282667565424 320155489497 426873985996 640310978994 853747971992 1280621957988 1707495943984 2561243915976 4375458356459 5122487831952 8750916712918 13126375069377 17501833425836 26252750138754 35003666851672 52505500277508 70007333703344 105011000555016 210022001110032