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200220102022101 = 3747713079306659
BaseRepresentation
bin101101100001100101100000…
…000011101101001111010101
3222020220212002011102021022220
4231201211200003231033111
5202220401232104201401
61545455502311412553
760113265530532120
oct5541454003551725
9866825064367286
10200220102022101
1158883960956257
121a557bb7084159
1387948a0156995
1437629c17873b7
1518232b71d3336
hexb619600ed3d5

200220102022101 has 64 divisors (see below), whose sum is σ = 317006579957760. Its totient is φ = 110040435126720.

The previous prime is 200220102022093. The next prime is 200220102022123. The reversal of 200220102022101 is 101220201022002.

It is not a de Polignac number, because 200220102022101 - 23 = 200220102022093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200220102022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16860310 + ... + 26166968.

It is an arithmetic number, because the mean of its divisors is an integer number (4953227811840).

Almost surely, 2200220102022101 is an apocalyptic number.

200220102022101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200220102022101 is a deficient number, since it is larger than the sum of its proper divisors (116786477935659).

200220102022101 is a wasteful number, since it uses less digits than its factorization.

200220102022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307094.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200220102022101 its reverse (101220201022002), we get a palindrome (301440303044103).

The spelling of 200220102022101 in words is "two hundred trillion, two hundred twenty billion, one hundred two million, twenty-two thousand, one hundred one".

Divisors: 1 3 7 21 47 71 141 213 307 329 497 921 987 1491 2149 3337 6447 10011 14429 21797 23359 43287 65391 70077 101003 152579 303009 457737 1024459 3073377 7171213 9306659 21513639 27919977 65146613 195439839 437412973 660772789 1312238919 1982318367 2857144313 3061890811 4625409523 8571432939 9185672433 13876228569 20000010191 31056321083 60000030573 93168963249 134285782711 202857246223 217394247581 402857348133 608571738669 652182742743 940000478977 1420000723561 2820001436931 4260002170683 9534290572481 28602871717443 66740034007367 200220102022101