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121431324 = 22378317417
BaseRepresentation
bin1110011110011…
…10010100011100
322110111100110110
413033032110130
5222041300244
620014410020
73003102120
oct717162434
9273440413
10121431324
11625aa173
1234800910
131c208571
14121ad580
15a9d99b9
hex73ce51c

121431324 has 48 divisors (see below), whose sum is σ = 327737088. Its totient is φ = 34274688.

The previous prime is 121431313. The next prime is 121431361. The reversal of 121431324 is 423134121.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121431324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737 + ... + 15680.

It is an arithmetic number, because the mean of its divisors is an integer number (6827856).

Almost surely, 2121431324 is an apocalyptic number.

121431324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121431324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163868544).

121431324 is an abundant number, since it is smaller than the sum of its proper divisors (206305764).

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

121431324 is a wasteful number, since it uses less digits than its factorization.

121431324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17514 (or 17512 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 121431324 is about 11019.5881955725. The cubic root of 121431324 is about 495.1957515754.

Adding to 121431324 its reverse (423134121), we get a palindrome (544565445).

The spelling of 121431324 in words is "one hundred twenty-one million, four hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 17417 34834 52251 69668 104502 121919 209004 243838 365757 487676 731514 1445611 1463028 2891222 4336833 5782444 8673666 10119277 17347332 20238554 30357831 40477108 60715662 121431324