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201022021120 = 295127618301
BaseRepresentation
bin1011101100110111011…
…0001001111000000000
3201012212120101201220111
42323031312021320000
511243143114133440
6232203115321104
720344340662264
oct2731566117000
9635776351814
10201022021120
1178286765858
1232b61a50194
1315c57c996bb
149a2db220a4
1553680554ea
hex2ecdd89e00

201022021120 has 80 divisors (see below), whose sum is σ = 485777622528. Its totient is φ = 79775539200.

The previous prime is 201022021111. The next prime is 201022021133. The reversal of 201022021120 is 21120220102.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201022021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15970 + ... + 634270.

Almost surely, 2201022021120 is an apocalyptic number.

201022021120 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 201022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242888811264).

201022021120 is an abundant number, since it is smaller than the sum of its proper divisors (284755601408).

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

201022021120 is an equidigital number, since it uses as much as digits as its factorization.

201022021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618451 (or 618435 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201022021120 its reverse (21120220102), we get a palindrome (222142241222).

The spelling of 201022021120 in words is "two hundred one billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1270 1280 2032 2540 2560 4064 5080 8128 10160 16256 20320 32512 40640 65024 81280 162560 325120 618301 1236602 2473204 3091505 4946408 6183010 9892816 12366020 19785632 24732040 39571264 49464080 78524227 79142528 98928160 157048454 158285056 197856320 314096908 316570112 392621135 395712640 628193816 785242270 791425280 1256387632 1570484540 1582850560 2512775264 3140969080 5025550528 6281938160 10051101056 12563876320 20102202112 25127752640 40204404224 50255505280 100511010560 201022021120