Search a number
-
+
121313322 = 233132959101
BaseRepresentation
bin1110011101100…
…01100000101010
322110021100121000
413032301200222
5222024011242
620012055430
73002101104
oct716614052
9273240530
10121313322
1162529549
1234764576
131c196940
141217c574
15a9b4a4c
hex73b182a

121313322 has 128 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 35078400.

The previous prime is 121313317. The next prime is 121313359. The reversal of 121313322 is 223313121.

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 = 121313295 and 121313304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1201072 + ... + 1201172.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2121313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

121313322 is an abundant number, since it is smaller than the sum of its proper divisors (187134678).

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

121313322 is a wasteful number, since it uses less digits than its factorization.

121313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

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

The square root of 121313322 is about 11014.2327013733. The cubic root of 121313322 is about 495.0352959221.

Adding to 121313322 its reverse (223313121), we get a palindrome (344626443).

It can be divided in two parts, 1213 and 13322, that added together give a triangular number (14535 = T170).

The spelling of 121313322 in words is "one hundred twenty-one million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 59 78 87 101 117 118 174 177 202 234 261 303 351 354 377 522 531 606 702 754 767 783 909 1062 1131 1313 1534 1566 1593 1711 1818 2262 2301 2626 2727 2929 3186 3393 3422 3939 4602 5133 5454 5858 5959 6786 6903 7878 8787 10179 10266 11817 11918 13806 15399 17574 17877 20358 20709 22243 23634 26361 30798 35451 35754 38077 41418 44486 46197 52722 53631 66729 70902 76154 77467 79083 92394 107262 114231 133458 154934 158166 160893 172811 200187 228462 232401 321786 342693 345622 400374 464802 518433 600561 685386 697203 1028079 1036866 1201122 1394406 1555299 2056158 2091609 2246543 3110598 4183218 4493086 4665897 6739629 9331794 13479258 20218887 40437774 60656661 121313322