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201002222020002 = 231329307307994007
BaseRepresentation
bin101101101100111101111010…
…000010101110010110100010
3222100200121212110011210110120
4231230331322002232112202
5202321210022314120002
61551255051313341110
760223634304034134
oct5554757202562642
9870617773153416
10201002222020002
1159055622238807
121a6636b1567796
1388205749c8a50
14378c7b91db054
1518387e0921cbc
hexb6cf7a0ae5a2

201002222020002 has 128 divisors (see below), whose sum is σ = 449465935564800. Its totient is φ = 59499715435776.

The previous prime is 201002222019887. The next prime is 201002222020021. The reversal of 201002222020002 is 200020222200102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2138115283 + ... + 2138209289.

It is an arithmetic number, because the mean of its divisors is an integer number (3511452621600).

Almost surely, 2201002222020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002222020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224732967782400).

201002222020002 is an abundant number, since it is smaller than the sum of its proper divisors (248463713544798).

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

201002222020002 is a wasteful number, since it uses less digits than its factorization.

201002222020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97440.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 201002222020002 its reverse (200020222200102), we get a palindrome (401022444220104).

The spelling of 201002222020002 in words is "two hundred one trillion, two billion, two hundred twenty-two million, twenty thousand, two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 307 377 614 754 921 1131 1842 2262 3079 3991 6158 7982 8903 9237 11973 17806 18474 23946 26709 40027 53418 80054 89291 94007 115739 120081 178582 188014 231478 240162 267873 282021 347217 535746 564042 694434 945253 1160783 1222091 1890506 2321566 2444182 2726203 2835759 3482349 3666273 5452406 5671518 6964698 7332546 8178609 12288289 16357218 24576578 27412337 28860149 35440639 36864867 54824674 57720298 70881278 73729734 82237011 86580447 106321917 164474022 173160894 212643834 289447553 356360381 375181937 578895106 712720762 750363874 836944321 868342659 1069081143 1125545811 1673888642 1736685318 2138162286 2251091622 2510832963 3762818189 5021665926 7525636378 8393979037 10880276173 11288454567 16787958074 21760552346 22576909134 25181937111 32640828519 50363874222 65281657038 88860398771 109121727481 177720797542 218243454962 266581196313 327365182443 533162392626 654730364886 1155185184023 2310370368046 2576951564359 3465555552069 5153903128718 6931111104138 7730854693077 15461709386154 33500370336667 67000740673334 100501111010001 201002222020002