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210200010000 = 243547006667
BaseRepresentation
bin1100001111000011100…
…1011001110100010000
3202002120012101212202120
43003300321121310100
511420442200310000
6240321535414240
721120644414331
oct3036071316420
9662505355676
10210200010000
1181166475732
12348a3684380
1316a8b598356
14a260a2a288
155703b8e6a0
hex30f0e59d10

210200010000 has 100 divisors (see below), whose sum is σ = 678553755792. Its totient is φ = 56053328000.

The previous prime is 210200009993. The next prime is 210200010011. The reversal of 210200010000 is 10002012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 19 ways as a sum of consecutive naturals, for example, 3473334 + ... + 3533333.

Almost surely, 2210200010000 is an apocalyptic number.

210200010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210200010000 is an abundant number, since it is smaller than the sum of its proper divisors (468353745792).

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

210200010000 is an equidigital number, since it uses as much as digits as its factorization.

210200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006698 (or 7006677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 210200010000 its reverse (10002012), we get a palindrome (210210012012).

The spelling of 210200010000 in words is "two hundred ten billion, two hundred million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 7006667 14013334 21020001 28026668 35033335 42040002 56053336 70066670 84080004 105100005 112106672 140133340 168160008 175166675 210200010 280266680 336320016 350333350 420400020 525500025 560533360 700666700 840800040 875833375 1051000050 1401333400 1681600080 1751666750 2102000100 2627500125 2802666800 3503333500 4204000200 4379166875 5255000250 7006667000 8408000400 8758333750 10510000500 13137500625 14013334000 17516667500 21020001000 26275001250 35033335000 42040002000 52550002500 70066670000 105100005000 210200010000