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3202112112 = 243178347279
BaseRepresentation
bin1011111011011100…
…0101101001110000
322021011100011000220
42332313011221300
523024220041422
61245424213040
7142231334553
oct27667055160
98234304026
103202112112
1113a3566251
1275446a180
133c052acc4
142253b869a
1513b1b8e5c
hexbedc5a70

3202112112 has 80 divisors (see below), whose sum is σ = 8864432640. Its totient is φ = 992459776.

The previous prime is 3202112099. The next prime is 3202112119. The reversal of 3202112112 is 2112112023.

It is a junction number, because it is equal to n+sod(n) for n = 3202112091 and 3202112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202112119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44089 + ... + 91367.

It is an arithmetic number, because the mean of its divisors is an integer number (110805408).

Almost surely, 23202112112 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 3202112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432216320).

3202112112 is an abundant number, since it is smaller than the sum of its proper divisors (5662320528).

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

3202112112 is a wasteful number, since it uses less digits than its factorization.

3202112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47390 (or 47384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3202112112 is about 56587.2080244290. The cubic root of 3202112112 is about 1473.9367401159.

Adding to 3202112112 its reverse (2112112023), we get a palindrome (5314224135).

The spelling of 3202112112 in words is "three billion, two hundred two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 8466 11288 16932 22576 33864 47279 67728 94558 141837 189116 283674 378232 567348 756464 803743 1134696 1607486 2269392 2411229 3214972 3924157 4822458 6429944 7848314 9644916 11772471 12859888 15696628 19289832 23544942 31393256 38579664 47089884 62786512 66710669 94179768 133421338 188359536 200132007 266842676 400264014 533685352 800528028 1067370704 1601056056 3202112112