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210120220100 = 22527300171743
BaseRepresentation
bin1100001110110000100…
…1000001110111000100
3202002100122021010121002
43003230021001313010
511420311234020400
6240310005312432
721115655254610
oct3035411016704
9662318233532
10210120220100
118112542836a
1234880a05718
1316a77bac7ab
14a2541ba340
1556ebb7ced5
hex30ec241dc4

210120220100 has 36 divisors (see below), whose sum is σ = 521098147584. Its totient is φ = 72041218080.

The previous prime is 210120220091. The next prime is 210120220109. The reversal of 210120220100 is 1022021012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210120220091) and next prime (210120220109).

It is not an unprimeable number, because it can be changed into a prime (210120220109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150085172 + ... + 150086571.

It is an arithmetic number, because the mean of its divisors is an integer number (14474948544).

Almost surely, 2210120220100 is an apocalyptic number.

210120220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120220100 is an abundant number, since it is smaller than the sum of its proper divisors (310977927484).

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

210120220100 is a wasteful number, since it uses less digits than its factorization.

210120220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300171764 (or 300171757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210120220100 its reverse (1022021012), we get a palindrome (211142241112).

The spelling of 210120220100 in words is "two hundred ten billion, one hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 300171743 600343486 1200686972 1500858715 2101202201 3001717430 4202404402 6003434860 7504293575 8404808804 10506011005 15008587150 21012022010 30017174300 42024044020 52530055025 105060110050 210120220100