Search a number
-
+
10222211000121 = 3231376199174443
BaseRepresentation
bin1001010011000000101101…
…0000010110011100111001
31100012020022110102122112220
42110300023100112130321
52314440042004000441
633424004025554253
72103346626600561
oct224601320263471
940166273378486
1010222211000121
11329124068736a
121191171945989
13591c47c35803
14274a86dd7da1
1512ad832c4466
hex94c0b416739

10222211000121 has 32 divisors (see below), whose sum is σ = 14328411494400. Its totient is φ = 6469850031744.

The previous prime is 10222211000087. The next prime is 10222211000161. The reversal of 10222211000121 is 12100011222201.

It is not a de Polignac number, because 10222211000121 - 27 = 10222210999993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222211000121.

It is not an unprimeable number, because it can be changed into a prime (10222211000161) 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 31 ways as a sum of consecutive naturals, for example, 58511926 + ... + 58686368.

It is an arithmetic number, because the mean of its divisors is an integer number (447762859200).

Almost surely, 210222211000121 is an apocalyptic number.

It is an amenable number.

10222211000121 is a deficient number, since it is larger than the sum of its proper divisors (4106200494279).

10222211000121 is a wasteful number, since it uses less digits than its factorization.

10222211000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180805.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222211000121 its reverse (12100011222201), we get a palindrome (22322222222322).

The spelling of 10222211000121 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 23 69 137 411 3151 6199 9453 18597 142577 174443 427731 523329 849263 2547789 4012189 12036567 19533049 23898691 58599147 71696073 549669893 1081372157 1649009679 3244116471 24871559611 74614678833 148147985509 444443956527 3407403666707 10222211000121