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110022001221 = 3114771999101
BaseRepresentation
bin110011001110111010…
…0101000001001000101
3101111222121210202101010
41212131310220021011
53300311113014341
6122313213152433
710643306402646
oct1463564501105
9344877722333
10110022001221
1142729607a40
12193a618b719
13a4b4c31192
14547a0ad6cd
152cddee1716
hex199dd28245

110022001221 has 32 divisors (see below), whose sum is σ = 165739032576. Its totient is φ = 64342040000.

The previous prime is 110022001169. The next prime is 110022001247. The reversal of 110022001221 is 122100220011.

It is a cyclic number.

It is not a de Polignac number, because 110022001221 - 210 = 110022000197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110022001197 and 110022001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022001291) 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, 389430 + ... + 609671.

It is an arithmetic number, because the mean of its divisors is an integer number (5179344768).

Almost surely, 2110022001221 is an apocalyptic number.

110022001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110022001221 is a deficient number, since it is larger than the sum of its proper divisors (55717031355).

110022001221 is a wasteful number, since it uses less digits than its factorization.

110022001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999233.

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

Adding to 110022001221 its reverse (122100220011), we get a palindrome (232122221232).

The spelling of 110022001221 in words is "one hundred ten billion, twenty-two million, one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 47 71 141 213 517 781 1551 2343 3337 10011 36707 110121 999101 2997303 10990111 32970333 46957747 70936171 140873241 212808513 516535217 780297881 1549605651 2340893643 3334000037 10002000111 36674000407 110022001221