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210012101280 = 25325145841737
BaseRepresentation
bin1100001110010110110…
…0100101101010100000
3202002002002211010110100
43003211230211222200
511420101044220110
6240251144102400
721113203256442
oct3034554455240
9662062733410
10210012101280
118107a3a1073
1234850764a00
1316a5b685767
14a243ab4492
1556e2422bc0
hex30e5b25aa0

210012101280 has 72 divisors (see below), whose sum is σ = 716666300532. Its totient is φ = 56003226624.

The previous prime is 210012101279. The next prime is 210012101339. The reversal of 210012101280 is 82101210012.

It can be written as a sum of positive squares in 2 ways, for example, as 207946944144 + 2065157136 = 456012^2 + 45444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 72919429 + ... + 72922308.

Almost surely, 2210012101280 is an apocalyptic number.

210012101280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012101280 is an abundant number, since it is smaller than the sum of its proper divisors (506654199252).

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

210012101280 is a wasteful number, since it uses less digits than its factorization.

210012101280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145841758 (or 145841747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210012101280 its reverse (82101210012), we get a palindrome (292113311292).

The spelling of 210012101280 in words is "two hundred ten billion, twelve million, one hundred one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 145841737 291683474 437525211 583366948 729208685 875050422 1166733896 1312575633 1458417370 1750100844 2187626055 2333467792 2625151266 2916834740 3500201688 4375252110 4666935584 5250302532 5833669480 6562878165 7000403376 8750504220 10500605064 11667338960 13125756330 14000806752 17501008440 21001210128 23334677920 26251512660 35002016880 42002420256 52503025320 70004033760 105006050640 210012101280