Search a number
-
+
3312103120 = 2451391491999
BaseRepresentation
bin1100010101101010…
…1010111011010000
322112211022021022221
43011122222323100
523240344244440
61304353510424
7145035261214
oct30532527320
98484267287
103312103120
11144a661107
12785272414
1340a25c241
14235c4a944
15145b93d4a
hexc56aaed0

3312103120 has 80 divisors (see below), whose sum is σ = 7812000000. Its totient is φ = 1305828864.

The previous prime is 3312103073. The next prime is 3312103139. The reversal of 3312103120 is 213012133.

3312103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3312103094 and 3312103103.

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, 1655881 + ... + 1657879.

It is an arithmetic number, because the mean of its divisors is an integer number (97650000).

Almost surely, 23312103120 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 3312103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906000000).

3312103120 is an abundant number, since it is smaller than the sum of its proper divisors (4499896880).

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

3312103120 is a wasteful number, since it uses less digits than its factorization.

3312103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3312103120 is about 57550.8741897115. The cubic root of 3312103120 is about 1490.6234527421.

Adding to 3312103120 its reverse (213012133), we get a palindrome (3525115253).

The spelling of 3312103120 in words is "three billion, three hundred twelve million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 149 278 298 556 596 695 745 1112 1192 1390 1490 1999 2224 2384 2780 2980 3998 5560 5960 7996 9995 11120 11920 15992 19990 20711 31984 39980 41422 79960 82844 103555 159920 165688 207110 277861 297851 331376 414220 555722 595702 828440 1111444 1191404 1389305 1489255 1656880 2222888 2382808 2778610 2978510 4445776 4765616 5557220 5957020 11114440 11914040 22228880 23828080 41401289 82802578 165605156 207006445 331210312 414012890 662420624 828025780 1656051560 3312103120