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201222221111000 = 23536711941251513
BaseRepresentation
bin101101110000001010110011…
…000000101001111011011000
3222101110122201120021120021222
4231300022303000221323120
5202333311102101023000
61551544113501351212
760245553136330655
oct5560126300517330
9871418646246258
10201222221111000
115912a956a67a91
121a69a26a868508
138838235464b7b
1437992c9408c2c
15183e3b99d2a85
hexb702b3029ed8

201222221111000 has 128 divisors (see below), whose sum is σ = 477929679514560. Its totient is φ = 79280606592000.

The previous prime is 201222221110997. The next prime is 201222221111003. The reversal of 201222221111000 is 111122222102.

It is an interprime number because it is at equal distance from previous prime (201222221110997) and next prime (201222221111003).

It is a self number, because there is not a number n which added to its sum of digits gives 201222221111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222221111003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799921244 + ... + 800172756.

Almost surely, 2201222221111000 is an apocalyptic number.

201222221111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238964839757280).

201222221111000 is an abundant number, since it is smaller than the sum of its proper divisors (276707458403560).

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

201222221111000 is a wasteful number, since it uses less digits than its factorization.

201222221111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263542 (or 263528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201222221111000 its reverse (111122222102), we get a palindrome (201333343333102).

The spelling of 201222221111000 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 6700 8375 11941 13400 16750 23882 33500 47764 59705 67000 95528 119410 238820 251513 298525 477640 503026 597050 800047 1006052 1194100 1257565 1492625 1600094 2012104 2388200 2515130 2985250 3200188 4000235 5030260 5970500 6287825 6400376 8000470 10060520 11941000 12575650 16000940 16851371 20001175 25151300 31439125 32001880 33702742 40002350 50302600 62878250 67405484 80004700 84256855 100005875 125756500 134810968 160009400 168513710 200011750 251513000 337027420 400023500 421284275 674054840 800047000 842568550 1685137100 2106421375 3003316733 3370274200 4212842750 6006633466 8425685500 12013266932 15016583665 16851371000 24026533864 30033167330 60066334660 75082918325 120132669320 150165836650 201222221111 300331673300 375414591625 402444442222 600663346600 750829183250 804888884444 1006111105555 1501658366500 1609777768888 2012222211110 3003316733000 4024444422220 5030555527775 8048888844440 10061111055550 20122222111100 25152777638875 40244444222200 50305555277750 100611110555500 201222221111000