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10223222121 = 32741101149263
BaseRepresentation
bin10011000010101100…
…11111110101101001
3222101110210111022100
421201112133311221
5131414121101441
64410235044013
7511224645210
oct114126376551
928343714270
1010223222121
114376819102
121b938a0609
13c6c015678
146cda6c077
153ec7a2cb6
hex26159fd69

10223222121 has 96 divisors (see below), whose sum is σ = 17643225600. Its totient is φ = 5583744000.

The previous prime is 10223222117. The next prime is 10223222143. The reversal of 10223222121 is 12122232201.

It is not a de Polignac number, because 10223222121 - 22 = 10223222117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10223222094 and 10223222103.

It is not an unprimeable number, because it can be changed into a prime (10223222111) 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 95 ways as a sum of consecutive naturals, for example, 38871436 + ... + 38871698.

It is an arithmetic number, because the mean of its divisors is an integer number (183783600).

Almost surely, 210223222121 is an apocalyptic number.

It is an amenable number.

10223222121 is a deficient number, since it is larger than the sum of its proper divisors (7420003479).

10223222121 is a wasteful number, since it uses less digits than its factorization.

10223222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10223222121 its reverse (12122232201), we get a palindrome (22345454322).

The spelling of 10223222121 in words is "ten billion, two hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 41 63 101 123 149 263 287 303 369 447 707 789 861 909 1043 1341 1841 2121 2367 2583 3129 4141 5523 6109 6363 9387 10783 12423 15049 16569 18327 26563 28987 32349 37269 39187 42763 45147 54981 75481 79689 86961 97047 105343 117561 128289 135441 185941 226443 239067 260883 274309 316029 352683 384867 557823 617009 679329 822927 948087 1089083 1606667 1673469 1851027 2468781 3267249 3957887 4319063 4820001 5553081 7623581 9801747 11246669 11873661 12957189 14460003 22870743 27705209 33740007 35620983 38871567 68612229 83115627 101220021 162273367 249346881 486820101 1135913569 1460460303 3407740707 10223222121