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121343220 = 223252233023
BaseRepresentation
bin1110011101110…
…00110011110100
322110022212121100
413032320303310
5222030440340
620012450100
73002254215
oct716706364
9273285540
10121343220
1162549a59
1234779930
131c1a742b
141218940c
15a9bd830
hex73b8cf4

121343220 has 72 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 32202432.

The previous prime is 121343191. The next prime is 121343227. The reversal of 121343220 is 22343121.

121343220 is a `hidden beast` number, since 1 + 213 + 432 + 20 = 666.

It is a super-4 number, since 4×1213432204 (a number of 33 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121343193 and 121343202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121343227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38629 + ... + 41651.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2121343220 is an apocalyptic number.

121343220 is a gapful number since it is divisible by the number (10) 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 121343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

121343220 is an abundant number, since it is smaller than the sum of its proper divisors (248504076).

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

121343220 is a wasteful number, since it uses less digits than its factorization.

121343220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121343220 is about 11015.5898616461. The cubic root of 121343220 is about 495.0759601825.

Adding to 121343220 its reverse (22343121), we get a palindrome (143686341).

Subtracting from 121343220 its reverse (22343121), we obtain a palindrome (99000099).

The spelling of 121343220 in words is "one hundred twenty-one million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3023 3345 4014 4460 6046 6690 8028 9069 10035 12092 13380 15115 18138 20070 27207 30230 36276 40140 45345 54414 60460 90690 108828 136035 181380 272070 544140 674129 1348258 2022387 2696516 3370645 4044774 6067161 6741290 8089548 10111935 12134322 13482580 20223870 24268644 30335805 40447740 60671610 121343220