Search a number
-
+
121331196 = 2234761877
BaseRepresentation
bin1110011101101…
…01110111111100
322110022021010000
413032311313330
5222030044241
620012314300
73002204160
oct716656774
9273267100
10121331196
1162540a18
1234772990
131c1a1b0c
1412184ca0
15a9b9eb6
hex73b5dfc

121331196 has 120 divisors (see below), whose sum is σ = 368858336. Its totient is φ = 34058880.

The previous prime is 121331191. The next prime is 121331213. The reversal of 121331196 is 691133121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331191) 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 39 ways as a sum of consecutive naturals, for example, 137910 + ... + 138786.

Almost surely, 2121331196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121331196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184429168).

121331196 is an abundant number, since it is smaller than the sum of its proper divisors (247527140).

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

121331196 is a wasteful number, since it uses less digits than its factorization.

121331196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 950 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 121331196 is about 11015.0440761715. The cubic root of 121331196 is about 495.0596071470.

The spelling of 121331196 in words is "one hundred twenty-one million, three hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 244 252 324 366 378 427 549 567 732 756 854 877 1098 1134 1281 1647 1708 1754 2196 2268 2562 2631 3294 3508 3843 4941 5124 5262 6139 6588 7686 7893 9882 10524 11529 12278 15372 15786 18417 19764 23058 23679 24556 31572 34587 36834 46116 47358 53497 55251 69174 71037 73668 94716 106994 110502 138348 142074 160491 165753 213988 221004 284148 320982 331506 374479 481473 497259 641964 663012 748958 962946 994518 1123437 1444419 1497916 1925892 1989036 2246874 2888838 3370311 4333257 4493748 5777676 6740622 8666514 10110933 13481244 17333028 20221866 30332799 40443732 60665598 121331196