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20221001102000 = 245347215117033
BaseRepresentation
bin1001001100100000100011…
…00101100111001010110000
32122121002221100000201011202
410212100101211213022300
510122300102240231000
6111001222154430332
74154630154263336
oct446202145471260
978532840021152
1020221001102000
116496750a63a86
122326b704323a8
13b38aa851248a
144dc9b757bb56
15250edbdc3dd5
hex1264119672b0

20221001102000 has 80 divisors (see below), whose sum is σ = 49934686868352. Its totient is φ = 7916306777600.

The previous prime is 20221001101963. The next prime is 20221001102041. The reversal of 20221001102000 is 20110012202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107464517 + ... + 107652516.

Almost surely, 220221001102000 is an apocalyptic number.

20221001102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221001102000 is an abundant number, since it is smaller than the sum of its proper divisors (29713685766352).

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

20221001102000 is a wasteful number, since it uses less digits than its factorization.

20221001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215117103 (or 215117087 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20221001102000 its reverse (20110012202), we get a palindrome (20241111114202).

The spelling of 20221001102000 in words is "twenty trillion, two hundred twenty-one billion, one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 215117033 430234066 860468132 1075585165 1720936264 2151170330 3441872528 4302340660 5377925825 8604681320 10110500551 10755851650 17209362640 20221001102 21511703300 26889629125 40442002204 43023406600 50552502755 53779258250 80884004408 86046813200 101105005510 107558516500 161768008816 202210011020 215117033000 252762513775 404420022040 430234066000 505525027550 808840044080 1011050055100 1263812568875 2022100110200 2527625137750 4044200220400 5055250275500 10110500551000 20221001102000