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1020201222221 = 18142891314169
BaseRepresentation
bin11101101100010001011…
…10110100000001001101
310121112022120120211201122
432312020232310001031
5113203333003102341
62100401324450325
7133464352210436
oct16661056640115
93545276524648
101020201222221
11363734aa2175
1214587b3a99a5
1375287567b7c
143754134c48d
151b80eecd94b
hexed88bb404d

1020201222221 has 8 divisors (see below), whose sum is σ = 1026077652600. Its totient is φ = 1014327429120.

The previous prime is 1020201222197. The next prime is 1020201222241. The reversal of 1020201222221 is 1222221020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 969637321 + 1019231584900 = 31139^2 + 1009570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020201222221 - 238 = 745323315277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020201222221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201222241) 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 7 ways as a sum of consecutive naturals, for example, 119225 + ... + 1433393.

It is an arithmetic number, because the mean of its divisors is an integer number (128259706575).

Almost surely, 21020201222221 is an apocalyptic number.

It is an amenable number.

1020201222221 is a deficient number, since it is larger than the sum of its proper divisors (5876430379).

1020201222221 is a wasteful number, since it uses less digits than its factorization.

1020201222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318639.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1020201222221 its reverse (1222221020201), we get a palindrome (2242422242422).

The spelling of 1020201222221 in words is "one trillion, twenty billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 181 4289 776309 1314169 237864589 5636470841 1020201222221