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201131033301 = 321117375635737
BaseRepresentation
bin1011101101010001011…
…0000000001011010101
3201020011011112010111200
42323110112000023111
511243404021031201
6232222012023113
720350133401122
oct2732426001325
9636134463450
10201131033301
1178332252270
1232b92461a99
1315c74747253
149a403bb749
1553728da386
hex2ed45802d5

201131033301 has 96 divisors (see below), whose sum is σ = 345318899328. Its totient is φ = 111408721920.

The previous prime is 201131033287. The next prime is 201131033357. The reversal of 201131033301 is 103330131102.

It is a happy number.

201131033301 is a `hidden beast` number, since 20 + 1 + 1 + 310 + 3 + 330 + 1 = 666.

It is not a de Polignac number, because 201131033301 - 217 = 201130902229 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131037301) 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 95 ways as a sum of consecutive naturals, for example, 35055705 + ... + 35061441.

It is an arithmetic number, because the mean of its divisors is an integer number (3597071868).

Almost surely, 2201131033301 is an apocalyptic number.

It is an amenable number.

201131033301 is a deficient number, since it is larger than the sum of its proper divisors (144187866027).

201131033301 is a wasteful number, since it uses less digits than its factorization.

201131033301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 201131033301 its reverse (103330131102), we get a palindrome (304461164403).

The spelling of 201131033301 in words is "two hundred one billion, one hundred thirty-one million, thirty-three thousand, three hundred one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 563 629 1221 1683 1689 1887 3663 5067 5661 5737 6193 6919 9571 17211 18579 20757 20831 28713 51633 55737 62271 62493 63107 86139 97529 105281 187479 189321 212269 229141 292587 315843 354127 567963 636807 687423 877761 947529 1062381 1072819 1910421 2062269 2334959 3187143 3218457 3229931 3608573 3895397 7004877 9655371 9689793 10825719 11686191 21014631 29069379 32477157 35058573 35529241 39694303 54908827 106587723 119082909 119507447 164726481 319763169 357248727 358522341 494179443 603997097 1075567023 1314581917 1811991291 2031626599 3943745751 5435973873 6094879797 11831237253 18284639391 22347892589 67043677767 201131033301