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2120200100 = 225221202001
BaseRepresentation
bin111111001011111…
…1010111110100100
312110202112022202122
41332113322332210
513320232400400
6550215125112
7103353255254
oct17627727644
95422468678
102120200100
11998885797
124b2073798
1327a341395
14161827964
15c6207685
hex7e5fafa4

2120200100 has 18 divisors (see below), whose sum is σ = 4600834434. Its totient is φ = 848080000.

The previous prime is 2120200091. The next prime is 2120200109. The reversal of 2120200100 is 10020212.

It is an interprime number because it is at equal distance from previous prime (2120200091) and next prime (2120200109).

It can be written as a sum of positive squares in 3 ways, for example, as 581677924 + 1538522176 = 24118^2 + 39224^2 .

It is not an unprimeable number, because it can be changed into a prime (2120200109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10600901 + ... + 10601100.

It is an arithmetic number, because the mean of its divisors is an integer number (255601913).

Almost surely, 22120200100 is an apocalyptic number.

2120200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120200100 is an abundant number, since it is smaller than the sum of its proper divisors (2480634334).

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

2120200100 is a wasteful number, since it uses less digits than its factorization.

2120200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21202015 (or 21202008 counting only the distinct ones).

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

The square root of 2120200100 is about 46045.6306287578. The cubic root of 2120200100 is about 1284.6720738615.

Adding to 2120200100 its reverse (10020212), we get a palindrome (2130220312).

The spelling of 2120200100 in words is "two billion, one hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21202001 42404002 84808004 106010005 212020010 424040020 530050025 1060100050 2120200100