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1022110120121 = 1767389337481
BaseRepresentation
bin11101101111110101000…
…00101011100010111001
310121201020121111220100212
432313322200223202321
5113221240142320441
62101314555040505
7133562561446436
oct16677240534271
93551217456325
101022110120121
11364524575442
12146112740135
13754ccb9575c
1437682a90b8d
151b8c2897eeb
hexedfa82b8b9

1022110120121 has 8 divisors (see below), whose sum is σ = 1083842331624. Its totient is φ = 960556584960.

The previous prime is 1022110120093. The next prime is 1022110120133. The reversal of 1022110120121 is 1210210112201.

It can be written as a sum of positive squares in 4 ways, for example, as 183860006521 + 838250113600 = 428789^2 + 915560^2 .

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 1022110120121 - 214 = 1022110103737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022110120096 and 1022110120105.

It is not an unprimeable number, because it can be changed into a prime (1022110120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44657300 + ... + 44680181.

It is an arithmetic number, because the mean of its divisors is an integer number (135480291453).

Almost surely, 21022110120121 is an apocalyptic number.

It is an amenable number.

1022110120121 is a deficient number, since it is larger than the sum of its proper divisors (61732211503).

1022110120121 is an equidigital number, since it uses as much as digits as its factorization.

1022110120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89338171.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022110120121 its reverse (1210210112201), we get a palindrome (2232320232322).

The spelling of 1022110120121 in words is "one trillion, twenty-two billion, one hundred ten million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 17 673 11441 89337481 1518737177 60124124713 1022110120121