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10222414323133 = 417183197921379
BaseRepresentation
bin1001010011000001011101…
…0111111101110110111101
31100012020211122000112021211
42110300113113331312331
52314441001031320013
633424040131524421
72103354646035205
oct224602727756675
940166748015254
1010222414323133
113291335429a11
121191209a59711
13591c7b0b449c
14274aa6003405
1512ad9608823d
hex94c175fddbd

10222414323133 has 32 divisors (see below), whose sum is σ = 10753106918400. Its totient is φ = 9708793046400.

The previous prime is 10222414323091. The next prime is 10222414323137. The reversal of 10222414323133 is 33132341422201.

It is a de Polignac number, because none of the positive numbers 2k-10222414323133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10222414323095 and 10222414323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222414323137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478141438 + ... + 478162816.

It is an arithmetic number, because the mean of its divisors is an integer number (336034591200).

Almost surely, 210222414323133 is an apocalyptic number.

It is an amenable number.

10222414323133 is a deficient number, since it is larger than the sum of its proper divisors (530692595267).

10222414323133 is a wasteful number, since it uses less digits than its factorization.

10222414323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23553.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 10222414323133 its reverse (33132341422201), we get a palindrome (43354755745334).

The spelling of 10222414323133 in words is "ten trillion, two hundred twenty-two billion, four hundred fourteen million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 41 71 83 1979 2911 3403 5893 21379 81139 140509 164257 241613 876539 1517909 1774457 5760869 6734537 11662247 42309041 62234269 72752737 125986447 478152127 1734670681 3003941911 3511650403 5165444327 123161618351 143977666523 249327178613 10222414323133