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161123220 = 223252833163
BaseRepresentation
bin10011001101010…
…00101110010100
3102020011220111200
421212220232110
5312221420340
623553232500
73664344666
oct1146505624
9366156450
10161123220
1182a4a295
1245b62730
13274c4aab
1417582536
15e22a330
hex99a8b94

161123220 has 72 divisors (see below), whose sum is σ = 490622496. Its totient is φ = 42800832.

The previous prime is 161123203. The next prime is 161123231. The reversal of 161123220 is 22321161.

161123220 is a `hidden beast` number, since 1 + 611 + 2 + 32 + 20 = 666.

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 = 161123193 and 161123202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 49359 + ... + 52521.

Almost surely, 2161123220 is an apocalyptic number.

161123220 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 161123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245311248).

161123220 is an abundant number, since it is smaller than the sum of its proper divisors (329499276).

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

161123220 is a wasteful number, since it uses less digits than its factorization.

161123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161123220 is about 12693.4321599794. The cubic root of 161123220 is about 544.1509322046.

Adding to 161123220 its reverse (22321161), we get a palindrome (183444381).

The spelling of 161123220 in words is "one hundred sixty-one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3163 3396 4245 5094 5660 6326 8490 9489 10188 12652 12735 15815 16980 18978 25470 28467 31630 37956 47445 50940 56934 63260 94890 113868 142335 189780 284670 569340 895129 1790258 2685387 3580516 4475645 5370774 8056161 8951290 10741548 13426935 16112322 17902580 26853870 32224644 40280805 53707740 80561610 161123220