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201001212300 = 22352795714863
BaseRepresentation
bin1011101100110010011…
…0110001100110001100
3201012211010020112120110
42323030212301212030
511243122302243200
6232201053320020
720343666054210
oct2731446614614
9635733215513
10201001212300
1178275a42889
1232b56a96010
1315c538920a5
149a2b066940
1553662e4b50
hex2ecc9b198c

201001212300 has 72 divisors (see below), whose sum is σ = 664644015616. Its totient is φ = 45943133760.

The previous prime is 201001212283. The next prime is 201001212317. The reversal of 201001212300 is 3212100102.

201001212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201001212283) and next prime (201001212317).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47855332 + ... + 47859531.

Almost surely, 2201001212300 is an apocalyptic number.

201001212300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001212300 is an abundant number, since it is smaller than the sum of its proper divisors (463642803316).

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

201001212300 is a wasteful number, since it uses less digits than its factorization.

201001212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95714887 (or 95714880 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201001212300 its reverse (3212100102), we get a palindrome (204213312402).

The spelling of 201001212300 in words is "two hundred one billion, one million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 95714863 191429726 287144589 382859452 478574315 574289178 670004041 957148630 1148578356 1340008082 1435722945 1914297260 2010012123 2392871575 2680016164 2871445890 3350020205 4020024246 4785743150 5742891780 6700040410 7178614725 8040048492 9571486300 10050060615 13400080820 14357229450 16750101025 20100121230 28714458900 33500202050 40200242460 50250303075 67000404100 100500606150 201001212300