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201220001011000 = 23531910590526369
BaseRepresentation
bin101101110000001000101110…
…101011101001010100111000
3222101110102222211202210122001
4231300020232223221110320
5202333242030224323000
61551543105313110344
760245444130645136
oct5560105653512470
9871412884683561
10201220001011000
1159129a17859aa4
121a69994b2583b4
138837c7051672a
143799158618756
15183e2d9b4546a
hexb7022eae9538

201220001011000 has 64 divisors (see below), whose sum is σ = 495636634116000. Its totient is φ = 76251789849600.

The previous prime is 201220001010991. The next prime is 201220001011163. The reversal of 201220001011000 is 110100022102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5295244185 + ... + 5295282184.

Almost surely, 2201220001011000 is an apocalyptic number.

201220001011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220001011000 is an abundant number, since it is smaller than the sum of its proper divisors (294416633105000).

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

201220001011000 is a wasteful number, since it uses less digits than its factorization.

201220001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590526409 (or 10590526395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201220001011000 its reverse (110100022102), we get a palindrome (201330101033102).

The spelling of 201220001011000 in words is "two hundred one trillion, two hundred twenty billion, one million, eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 10590526369 21181052738 42362105476 52952631845 84724210952 105905263690 201220001011 211810527380 264763159225 402440002022 423621054760 529526318450 804880004044 1006100005055 1059052636900 1323815796125 1609760008088 2012200010110 2118105273800 2647631592250 4024400020220 5030500025275 5295263184500 8048800040440 10061000050550 10590526369000 20122000101100 25152500126375 40244000202200 50305000252750 100610000505500 201220001011000