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221240242113 = 311217893311217
BaseRepresentation
bin1100111000001011110…
…0100010111111000001
3210011001121112210002020
43032002330202333001
512111100000221423
6245345242112053
721661353013062
oct3160274427701
9704047483066
10221240242113
1185911392500
1236a64aab629
1317b2a93b087
14a9cadb0569
155b4d0294e3
hex3382f22fc1

221240242113 has 96 divisors (see below), whose sum is σ = 348507411840. Its totient is φ = 124300492800.

The previous prime is 221240242099. The next prime is 221240242117. The reversal of 221240242113 is 311242042122.

221240242113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221240242113 - 28 = 221240241857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221240242117) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 181790881 + ... + 181792097.

It is an arithmetic number, because the mean of its divisors is an integer number (3630285540).

Almost surely, 2221240242113 is an apocalyptic number.

It is an amenable number.

221240242113 is a deficient number, since it is larger than the sum of its proper divisors (127267169727).

221240242113 is a wasteful number, since it uses less digits than its factorization.

221240242113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221240242113 its reverse (311242042122), we get a palindrome (532482284235).

Subtracting 221240242113 from its reverse (311242042122), we obtain a square (90001800009 = 3000032).

The spelling of 221240242113 in words is "two hundred twenty-one billion, two hundred forty million, two hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 11 17 33 51 89 121 187 267 331 363 561 979 993 1217 1513 2057 2937 3641 3651 4539 5627 6171 10769 10923 13387 16643 16881 20689 29459 32307 40051 40161 49929 61897 62067 88377 108313 120153 147257 183073 185691 227579 324049 324939 402827 441771 500803 549219 680867 682737 972147 1191443 1208481 1502409 1841321 2042601 2503369 3564539 3574329 4431097 5508833 5523963 6848059 7510107 10693617 13105873 13293291 16526499 20254531 20544177 35851603 39317619 48742067 60597163 60763593 75328649 107554809 146226201 181791489 222799841 225985947 394367633 609477251 668399523 828615139 1183102899 1828431753 2485845417 4338043963 6704249761 13014131889 20112749283 73746747371 221240242113