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201003404000 = 255377178693
BaseRepresentation
bin1011101100110010111…
…1001000101011100000
3201012211021100220000112
42323030233020223200
511243123332412000
6232201212310452
720344023513050
oct2731457105340
9635737326015
10201003404000
11782771aa503
1232b57772428
1315c5417b859
149a2b477560
1553665c9235
hex2eccbc8ae0

201003404000 has 96 divisors (see below), whose sum is σ = 564417637056. Its totient is φ = 68915443200.

The previous prime is 201003403967. The next prime is 201003404011. The reversal of 201003404000 is 404300102.

201003404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3561347 + ... + 3617346.

It is an arithmetic number, because the mean of its divisors is an integer number (5879350386).

Almost surely, 2201003404000 is an apocalyptic number.

201003404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201003404000 is an abundant number, since it is smaller than the sum of its proper divisors (363414233056).

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

201003404000 is an equidigital number, since it uses as much as digits as its factorization.

201003404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178725 (or 7178707 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 201003404000 its reverse (404300102), we get a palindrome (201407704102).

The spelling of 201003404000 in words is "two hundred one billion, three million, four hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 7178693 14357386 28714772 35893465 50250851 57429544 71786930 100501702 114859088 143573860 179467325 201003404 229718176 251254255 287147720 358934650 402006808 502508510 574295440 717869300 804013616 897336625 1005017020 1148590880 1256271275 1435738600 1608027232 1794673250 2010034040 2512542550 2871477200 3589346500 4020068080 5025085100 5742954400 6281356375 7178693000 8040136160 10050170200 12562712750 14357386000 20100340400 25125425500 28714772000 40200680800 50250851000 100501702000 201003404000