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201001140405 = 325133111083603
BaseRepresentation
bin1011101100110010011…
…0100000000010110101
3201012211010002212221200
42323030212200002311
511243122242443110
6232201052003113
720343665334462
oct2731446400265
9635733085850
10201001140405
11782759a386a
1232b56a60499
1315c53868450
149a2b048669
1553662cd6c0
hex2ecc9a00b5

201001140405 has 48 divisors (see below), whose sum is σ = 387305458176. Its totient is φ = 95762321280.

The previous prime is 201001140259. The next prime is 201001140409. The reversal of 201001140405 is 504041100102.

201001140405 is a `hidden beast` number, since 20 + 100 + 1 + 140 + 405 = 666.

It is not a de Polignac number, because 201001140405 - 212 = 201001136309 is a prime.

It is a super-2 number, since 2×2010011404052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001140409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5523667 + ... + 5559936.

It is an arithmetic number, because the mean of its divisors is an integer number (8068863712).

Almost surely, 2201001140405 is an apocalyptic number.

It is an amenable number.

201001140405 is a deficient number, since it is larger than the sum of its proper divisors (186304317771).

201001140405 is a wasteful number, since it uses less digits than its factorization.

201001140405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083658 (or 11083655 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 201001140405 its reverse (504041100102), we get a palindrome (705042240507).

The spelling of 201001140405 in words is "two hundred one billion, one million, one hundred forty thousand, four hundred five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 18135 11083603 33250809 55418015 99752427 144086839 166254045 343591693 432260517 498762135 720434195 1030775079 1296781551 1717958465 2161302585 3092325237 4466692009 5153875395 6483907755 13400076027 15461626185 22333460045 40200228081 67000380135 201001140405