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20102022202122 = 23274122717141921
BaseRepresentation
bin1001001001000010111011…
…11001001000001100001010
32122011201211111020100201100
410210201131321020030022
510113322420140431442
6110430424100002230
74143215564312250
oct444413571101412
978151744210640
1020102022202122
116450246524563
122307aa6690376
13b2a7c6a42383
144d6d2bab65d0
1524cd768bb84c
hex12485de4830a

20102022202122 has 96 divisors (see below), whose sum is σ = 51215126062464. Its totient is φ = 5578666444800.

The previous prime is 20102022202111. The next prime is 20102022202183. The reversal of 20102022202122 is 22120222020102.

20102022202122 is a `hidden beast` number, since 20 + 10 + 202 + 220 + 212 + 2 = 666.

It is a super-2 number, since 2×201020222021222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20102022202095 and 20102022202104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7398279 + ... + 9743642.

It is an arithmetic number, because the mean of its divisors is an integer number (533490896484).

Almost surely, 220102022202122 is an apocalyptic number.

20102022202122 is an abundant number, since it is smaller than the sum of its proper divisors (31113103860342).

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

20102022202122 is a wasteful number, since it uses less digits than its factorization.

20102022202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17142204 (or 17142201 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20102022202122 its reverse (22120222020102), we get a palindrome (42222244222224).

The spelling of 20102022202122 in words is "twenty trillion, one hundred two billion, twenty-two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 227 246 287 369 454 574 681 738 861 1362 1589 1722 2043 2583 3178 4086 4767 5166 9307 9534 14301 18614 27921 28602 55842 65149 83763 130298 167526 195447 390894 586341 1172682 17141921 34283842 51425763 102851526 119993447 154277289 239986894 308554578 359980341 702818761 719960682 1079941023 1405637522 2108456283 2159882046 3891216067 4216912566 4919731327 6325368849 7782432134 9839462654 11673648201 12650737698 14759193981 23347296402 27238512469 29518387962 35020944603 44277581943 54477024938 70041889206 81715537407 88555163886 159539858747 163431074814 245146612221 319079717494 478619576241 490293224442 957239152482 1116779011229 1435858728723 2233558022458 2871717457446 3350337033687 6700674067374 10051011101061 20102022202122