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3121131330 = 23251913113933
BaseRepresentation
bin1011101000001000…
…1010111101000010
322001111221220021200
42322002022331002
522343002200310
61233412402030
7140226115152
oct27202127502
98044856250
103121131330
111361885189
12731316316
133a9816395
14218738762
1513401e9c0
hexba08af42

3121131330 has 96 divisors (see below), whose sum is σ = 8607867840. Its totient is φ = 782421120.

The previous prime is 3121131301. The next prime is 3121131341. The reversal of 3121131330 is 331311213.

It is a happy number.

3121131330 is a `hidden beast` number, since 312 + 11 + 313 + 30 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217044 + ... + 230976.

It is an arithmetic number, because the mean of its divisors is an integer number (89665290).

Almost surely, 23121131330 is an apocalyptic number.

3121131330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303933920).

3121131330 is an abundant number, since it is smaller than the sum of its proper divisors (5486736510).

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

3121131330 is a wasteful number, since it uses less digits than its factorization.

3121131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3121131330 is about 55867.0862852181. The cubic root of 3121131330 is about 1461.4053101235.

Adding to 3121131330 its reverse (331311213), we get a palindrome (3452442543).

The spelling of 3121131330 in words is "three billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 131 171 190 262 285 342 393 570 655 786 855 1179 1310 1710 1965 2358 2489 3930 4978 5895 7467 11790 12445 13933 14934 22401 24890 27866 37335 41799 44802 69665 74670 83598 112005 125397 139330 208995 224010 250794 264727 417990 529454 626985 794181 1253970 1323635 1588362 1825223 2382543 2647270 3650446 3970905 4765086 5475669 7941810 9126115 10951338 11912715 16427007 18252230 23825430 27378345 32854014 34679237 54756690 69358474 82135035 104037711 164270070 173396185 208075422 312113133 346792370 520188555 624226266 1040377110 1560565665 3121131330