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201104406531 = 3471983224909
BaseRepresentation
bin1011101101001011000…
…0011011100000000011
3201020002022102100110000
42323102300123200003
511243330212002111
6232215221211043
720346361152060
oct2732260334003
9636068370400
10201104406531
1178319216176
1232b85560a83
1315c6c083772
149a3aa49c67
1553703cac56
hex2ed2c1b803

201104406531 has 80 divisors (see below), whose sum is σ = 365757638400. Its totient is φ = 107556403392.

The previous prime is 201104406523. The next prime is 201104406539. The reversal of 201104406531 is 135604401102.

It is a happy number.

201104406531 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 4 + 4 + 0 + 653 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (201104406523) and next prime (201104406539).

It is not a de Polignac number, because 201104406531 - 23 = 201104406523 is a prime.

It is a super-2 number, since 2×2011044065312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201104406495 and 201104406504.

It is not an unprimeable number, because it can be changed into a prime (201104406539) 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 79 ways as a sum of consecutive naturals, for example, 781705 + ... + 1006613.

It is an arithmetic number, because the mean of its divisors is an integer number (4571970480).

Almost surely, 2201104406531 is an apocalyptic number.

201104406531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201104406531 is a deficient number, since it is larger than the sum of its proper divisors (164653231869).

201104406531 is a wasteful number, since it uses less digits than its factorization.

201104406531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225030 (or 225021 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 201104406531 its reverse (135604401102), we get a palindrome (336708807633).

The spelling of 201104406531 in words is "two hundred one billion, one hundred four million, four hundred six thousand, five hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 83 133 171 189 249 399 513 567 581 747 1197 1539 1577 1743 2241 3591 4731 5229 6723 10773 11039 14193 15687 33117 42579 47061 99351 127737 224909 298053 674727 894159 1574363 2024181 4273271 4723089 6072543 12819813 14169267 18217629 18667447 29912897 38459439 42507801 56002341 89738691 115378317 127523403 130672129 168007023 269216073 346134951 354681493 392016387 504021069 807648219 1064044479 1176049161 1512063207 2422944657 2482770451 3192133437 3528147483 7448311353 9576400311 10584442449 22344934059 28729200933 67034802177 201104406531