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121331322 = 23271039349
BaseRepresentation
bin1110011101101…
…01111001111010
322110022021021200
413032311321322
5222030100242
620012315030
73002204430
oct716657172
9273267250
10121331322
1162541022
1234772a76
131c1a1ba8
1412184d50
15a9ba04c
hex73b5e7a

121331322 has 48 divisors (see below), whose sum is σ = 303388800. Its totient is φ = 34325856.

The previous prime is 121331269. The next prime is 121331333. The reversal of 121331322 is 223133121.

121331322 is a `hidden beast` number, since 12 + 1 + 331 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121331295 and 121331304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8304 + ... + 17652.

It is an arithmetic number, because the mean of its divisors is an integer number (6320600).

Almost surely, 2121331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151694400).

121331322 is an abundant number, since it is smaller than the sum of its proper divisors (182057478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121331322 is a wasteful number, since it uses less digits than its factorization.

121331322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9464 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 121331322 is about 11015.0497956205. The cubic root of 121331322 is about 495.0597785167.

Adding to 121331322 its reverse (223133121), we get a palindrome (344464443).

The spelling of 121331322 in words is "one hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 103 126 206 309 618 721 927 1442 1854 2163 4326 6489 9349 12978 18698 28047 56094 65443 84141 130886 168282 196329 392658 588987 962947 1177974 1925894 2888841 5777682 6740629 8666523 13481258 17333046 20221887 40443774 60665661 121331322