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1022121312223 = 113141516714149
BaseRepresentation
bin11101101111110110010…
…11010111111111011111
310121201021101120112001011
432313323023113333133
5113221301023442343
62101320035000051
7133563055542454
oct16677313277737
93551241515034
101022121312223
1136452a91a210
12146116439027
13755022b3abb
143768436582b
151b8c385929d
hexedfb2d7fdf

1022121312223 has 32 divisors (see below), whose sum is σ = 1179395481600. Its totient is φ = 877062816000.

The previous prime is 1022121312221. The next prime is 1022121312257. The reversal of 1022121312223 is 3222131212201.

It is not a de Polignac number, because 1022121312223 - 21 = 1022121312221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022121312194 and 1022121312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121312221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72232753 + ... + 72246901.

It is an arithmetic number, because the mean of its divisors is an integer number (36856108800).

Almost surely, 21022121312223 is an apocalyptic number.

1022121312223 is a deficient number, since it is larger than the sum of its proper divisors (157274169377).

1022121312223 is a wasteful number, since it uses less digits than its factorization.

1022121312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19399.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1022121312223 its reverse (3222131212201), we get a palindrome (4244252524424).

The spelling of 1022121312223 in words is "one trillion, twenty-two billion, one hundred twenty-one million, three hundred twelve thousand, two hundred twenty-three".

Divisors: 1 11 31 41 341 451 1271 5167 13981 14149 56837 155639 160177 211847 438619 580109 1761947 2330317 4824809 6381199 6567257 17983379 72239827 73107883 197817169 804186713 2266344373 2997423203 24929788103 32971655233 92920119293 1022121312223