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201000100200 = 233523110806457
BaseRepresentation
bin1011101100110010001…
…0100010000101101000
3201012211001011001001120
42323030202202011220
511243122011201300
6232201013415240
720343653443014
oct2731442420550
9635731131046
10201000100200
1178275353299
1232b5663a520
1315c53592b43
149a2ac57544
1553661753a0
hex2ecc8a2168

201000100200 has 96 divisors (see below), whose sum is σ = 643200380160. Its totient is φ = 51870988800.

The previous prime is 201000100183. The next prime is 201000100207. The reversal of 201000100200 is 2001000102.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (201000100207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5384629 + ... + 5421828.

It is an arithmetic number, because the mean of its divisors is an integer number (6700003960).

Almost surely, 2201000100200 is an apocalyptic number.

201000100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000100200 is an abundant number, since it is smaller than the sum of its proper divisors (442200279960).

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

201000100200 is a wasteful number, since it uses less digits than its factorization.

201000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806507 (or 10806498 counting only the distinct ones).

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

Adding to 201000100200 its reverse (2001000102), we get a palindrome (203001100302).

The spelling of 201000100200 in words is "two hundred one billion, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 10806457 21612914 32419371 43225828 54032285 64838742 86451656 108064570 129677484 162096855 216129140 259354968 270161425 324193710 335000167 432258280 540322850 648387420 670000334 810484275 1005000501 1080645700 1296774840 1340000668 1620968550 1675000835 2010001002 2161291400 2680001336 3241937100 3350001670 4020002004 5025002505 6483874200 6700003340 8040004008 8375004175 10050005010 13400006680 16750008350 20100010020 25125012525 33500016700 40200020040 50250025050 67000033400 100500050100 201000100200