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20221012020108 = 223191371792936107
BaseRepresentation
bin1001001100100000100100…
…01111010000101110001100
32122121002222002120102000010
410212100102033100232030
510122300113034120413
6111001223224433220
74154630346135504
oct446202217205614
978532862512003
1020221012020108
116496757140a09
122326b74018810
13b38aaa865bb3
144dc9b8bc0a04
15250edcd2ddc3
hex1264123d0b8c

20221012020108 has 96 divisors (see below), whose sum is σ = 50032342483200. Its totient is φ = 6338443539456.

The previous prime is 20221012020059. The next prime is 20221012020133. The reversal of 20221012020108 is 80102021012202.

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, 560012191 + ... + 560048297.

It is an arithmetic number, because the mean of its divisors is an integer number (521170234200).

Almost surely, 220221012020108 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 20221012020108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25016171241600).

20221012020108 is an abundant number, since it is smaller than the sum of its proper divisors (29811330463092).

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

20221012020108 is a wasteful number, since it uses less digits than its factorization.

20221012020108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54199 (or 54197 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 20221012020108 in words is "twenty trillion, two hundred twenty-one billion, twelve million, twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2603 5206 7809 10412 15618 17929 31236 35858 36107 53787 71716 72214 107574 108321 144428 215148 216642 340651 433284 681302 686033 1021953 1362604 1372066 2043906 2058099 2456273 2744132 4087812 4116198 4912546 4946659 7368819 8232396 9825092 9893318 14737638 14839977 19786636 29475276 29679954 46669187 59359908 93338374 93986521 140007561 186676748 187973042 280015122 281959563 375946084 560030244 563919126 647362403 1127838252 1294724806 1942087209 2589449612 3884174418 7768348836 12299885657 24599771314 36899656971 49199542628 73799313942 88688649211 147598627884 177377298422 266065947633 354754596844 532131895266 1064263790532 1685084335009 3370168670018 5055253005027 6740337340036 10110506010054 20221012020108