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1002221121 = 311291915483
BaseRepresentation
bin111011101111001…
…010111001000001
32120211212002220210
4323233022321001
54023032033441
6243241024333
733556511316
oct7357127101
92524762823
101002221121
11474800620
1223b7850a9
1312c837165
1497168d0d
155cebe616
hex3bbcae41

1002221121 has 32 divisors (see below), whose sum is σ = 1516216320. Its totient is φ = 583284800.

The previous prime is 1002221119. The next prime is 1002221137. The reversal of 1002221121 is 1211222001.

It is a cyclic number.

It is not a de Polignac number, because 1002221121 - 21 = 1002221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002221097 and 1002221106.

It is not an unprimeable number, because it can be changed into a prime (1002221191) 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 31 ways as a sum of consecutive naturals, for example, 180046 + ... + 185528.

It is an arithmetic number, because the mean of its divisors is an integer number (47381760).

Almost surely, 21002221121 is an apocalyptic number.

1002221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002221121 is a deficient number, since it is larger than the sum of its proper divisors (513995199).

1002221121 is a wasteful number, since it uses less digits than its factorization.

1002221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002221121 is about 31657.8761290141. The cubic root of 1002221121 is about 1000.7398261889.

Adding to 1002221121 its reverse (1211222001), we get a palindrome (2213443122).

The spelling of 1002221121 in words is "one billion, two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 29 33 87 191 319 573 957 2101 5483 5539 6303 16449 16617 60313 60929 159007 180939 182787 477021 1047253 1749077 3141759 5247231 11519783 30370337 34559349 91111011 334073707 1002221121