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2010002001220 = 225257391050973
BaseRepresentation
bin11101001111111101011…
…101001000110101000100
321010011011111101011020201
4131033331131020311010
5230412441003014340
64135214314340244
7265134503053333
oct35177535106504
97104144334221
102010002001220
117054898023a4
1228567572a684
131177087a26a5
146d3dadb3d1a
153744113379a
hex1d3fd748d44

2010002001220 has 24 divisors (see below), whose sum is σ = 4237428354264. Its totient is φ = 800872390656.

The previous prime is 2010002001187. The next prime is 2010002001221. The reversal of 2010002001220 is 221002000102.

It can be written as a sum of positive squares in 4 ways, for example, as 215511349824 + 1794490651396 = 464232^2 + 1339586^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2010002001197 and 2010002001206.

It is not an unprimeable number, because it can be changed into a prime (2010002001221) 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 7 ways as a sum of consecutive naturals, for example, 195520347 + ... + 195530626.

It is an arithmetic number, because the mean of its divisors is an integer number (176559514761).

Almost surely, 22010002001220 is an apocalyptic number.

2010002001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010002001220 is an abundant number, since it is smaller than the sum of its proper divisors (2227426353044).

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

2010002001220 is a wasteful number, since it uses less digits than its factorization.

2010002001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391051239 (or 391051237 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2010002001220 its reverse (221002000102), we get a palindrome (2231004001322).

The spelling of 2010002001220 in words is "two trillion, ten billion, two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 391050973 782101946 1564203892 1955254865 3910509730 7821019460 100500100061 201000200122 402000400244 502500500305 1005001000610 2010002001220