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122343221 = 71121341271
BaseRepresentation
bin1110100101011…
…00111100110101
322112012200100102
413102230330311
5222304440341
620050123445
73013620530
oct722547465
9275180312
10122343221
1163072300
1234b80585
131c467650
1412369a17
15ab19c9b
hex74acf35

122343221 has 48 divisors (see below), whose sum is σ = 170171904. Its totient is φ = 85536000.

The previous prime is 122343217. The next prime is 122343241.

122343221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122343221 - 22 = 122343217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122343193 and 122343202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122343211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451316 + ... + 451586.

It is an arithmetic number, because the mean of its divisors is an integer number (3545248).

Almost surely, 2122343221 is an apocalyptic number.

122343221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122343221 is a deficient number, since it is larger than the sum of its proper divisors (47828683).

122343221 is a wasteful number, since it uses less digits than its factorization.

122343221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 122343221 is about 11060.8869897491. The cubic root of 122343221 is about 496.4322305950.

It can be divided in two parts, 1223 and 43221, that added together give a palindrome (44444).

The spelling of 122343221 in words is "one hundred twenty-two million, three hundred forty-three thousand, two hundred twenty-one".

Divisors: 1 7 11 13 41 77 91 121 143 271 287 451 533 847 1001 1573 1897 2981 3157 3523 3731 4961 5863 11011 11111 20867 24661 32791 34727 38753 41041 64493 77777 122221 144443 229537 271271 426283 451451 855547 1011101 1344431 1588873 2983981 9411017 11122111 17477603 122343221