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2120201010 = 232537636697
BaseRepresentation
bin111111001011111…
…1011001100110010
312110202112101000100
41332113323030302
513320232413020
6550215133230
7103353261024
oct17627731462
95422471010
102120201010
11998886444
124b2074216
1327a341915
14161828014
15c6207a90
hex7e5fb332

2120201010 has 48 divisors (see below), whose sum is σ = 5661518616. Its totient is φ = 550105344.

The previous prime is 2120201009. The next prime is 2120201021. The reversal of 2120201010 is 101020212.

It can be written as a sum of positive squares in 4 ways, for example, as 2016099801 + 104101209 = 44901^2 + 10203^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2120200983 and 2120201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315019 + ... + 321678.

Almost surely, 22120201010 is an apocalyptic number.

2120201010 is an abundant number, since it is smaller than the sum of its proper divisors (3541317606).

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

2120201010 is a wasteful number, since it uses less digits than its factorization.

2120201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636747 (or 636744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120201010 is about 46045.6405102589. The cubic root of 2120201010 is about 1284.6722576572.

Adding to 2120201010 its reverse (101020212), we get a palindrome (2221221222).

The spelling of 2120201010 in words is "two billion, one hundred twenty million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 636697 1273394 1910091 3183485 3820182 5730273 6366970 9550455 11460546 19100910 23557789 28651365 47115578 57302730 70673367 117788945 141346734 212020101 235577890 353366835 424040202 706733670 1060100505 2120201010