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201000210000 = 243546700007
BaseRepresentation
bin1011101100110010001…
…0111100111001010000
3201012211001100121200020
42323030202330321100
511243122023210000
6232201020023440
720343654411102
oct2731442747120
9635731317606
10201000210000
1178275418837
1232b56691b80
1315c53600b05
149a2ac85572
155366197ba0
hex2ecc8bce50

201000210000 has 100 divisors (see below), whose sum is σ = 648855574752. Its totient is φ = 53600048000.

The previous prime is 201000209981. The next prime is 201000210007. The reversal of 201000210000 is 12000102.

It is a happy number.

201000210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3320004 + ... + 3380003.

Almost surely, 2201000210000 is an apocalyptic number.

201000210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000210000 is an abundant number, since it is smaller than the sum of its proper divisors (447855364752).

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

201000210000 is an equidigital number, since it uses as much as digits as its factorization.

201000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700038 (or 6700017 counting only the distinct ones).

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

Adding to 201000210000 its reverse (12000102), we get a palindrome (201012210102).

The spelling of 201000210000 in words is "two hundred one billion, two hundred 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 6700007 13400014 20100021 26800028 33500035 40200042 53600056 67000070 80400084 100500105 107200112 134000140 160800168 167500175 201000210 268000280 321600336 335000350 402000420 502500525 536000560 670000700 804000840 837500875 1005001050 1340001400 1608001680 1675001750 2010002100 2512502625 2680002800 3350003500 4020004200 4187504375 5025005250 6700007000 8040008400 8375008750 10050010500 12562513125 13400014000 16750017500 20100021000 25125026250 33500035000 40200042000 50250052500 67000070000 100500105000 201000210000