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210102010100 = 22522972448969
BaseRepresentation
bin1100001110101100001…
…1100100000011110100
3202002022100222222011122
43003223003210003310
511420242103310400
6240304115123112
721115344422333
oct3035303440364
9662270888148
10210102010100
118111611a984
12348768a3498
1316a741a5048
14a2519d9d1a
1556ea282685
hex30eb0e40f4

210102010100 has 36 divisors (see below), whose sum is σ = 471642794700. Its totient is φ = 81142844160.

The previous prime is 210102009967. The next prime is 210102010103. The reversal of 210102010100 is 1010201012.

It can be written as a sum of positive squares in 6 ways, for example, as 39287824 + 210062722276 = 6268^2 + 458326^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210102010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36221585 + ... + 36227384.

Almost surely, 2210102010100 is an apocalyptic number.

210102010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102010100 is an abundant number, since it is smaller than the sum of its proper divisors (261540784600).

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

210102010100 is a wasteful number, since it uses less digits than its factorization.

210102010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72449012 (or 72449005 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210102010100 its reverse (1010201012), we get a palindrome (211112211112).

The spelling of 210102010100 in words is "two hundred ten billion, one hundred two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 72448969 144897938 289795876 362244845 724489690 1448979380 1811224225 2101020101 3622448450 4202040202 7244896900 8404080404 10505100505 21010201010 42020402020 52525502525 105051005050 210102010100