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221031121113 = 381129105607
BaseRepresentation
bin1100110111011001111…
…0110100000011011001
3210010112001001100000000
43031312132310003121
512110132431333423
6245312412003213
721653233346625
oct3156636640331
9703461040000
10221031121113
118581433a830
1236a06a60509
1317ac650c33a
14a9ab2d6185
155b399bc843
hex33767b40d9

221031121113 has 72 divisors (see below), whose sum is σ = 374143798080. Its totient is φ = 129337780320.

The previous prime is 221031121099. The next prime is 221031121163. The reversal of 221031121113 is 311121130122.

221031121113 is a `hidden beast` number, since 221 + 0 + 311 + 21 + 113 = 666.

It is not a de Polignac number, because 221031121113 - 24 = 221031121097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221031121163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2040156 + ... + 2145762.

It is an arithmetic number, because the mean of its divisors is an integer number (5196441640).

Almost surely, 2221031121113 is an apocalyptic number.

It is an amenable number.

221031121113 is a deficient number, since it is larger than the sum of its proper divisors (153112676967).

221031121113 is an equidigital number, since it uses as much as digits as its factorization.

221031121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105671 (or 105650 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 221031121113 its reverse (311121130122), we get a palindrome (532152251235).

Subtracting 221031121113 from its reverse (311121130122), we obtain a palindrome (90090009009).

The spelling of 221031121113 in words is "two hundred twenty-one billion, thirty-one million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 29 33 81 87 99 243 261 297 319 729 783 891 957 2187 2349 2673 2871 6561 7047 8019 8613 21141 24057 25839 63423 72171 77517 105607 190269 232551 316821 697653 950463 1161677 2092959 2851389 3062603 3485031 8554167 9187809 10455093 25662501 27563427 31365279 33688633 76987503 82690281 94095837 101065899 230962509 248070843 282287511 303197697 692887527 744212529 846862533 909593091 2232637587 2540587599 2728779273 6697912761 7621762797 8186337819 20093738283 24559013457 73677040371 221031121113