Search a number
-
+
3112320333132 = 22324712714483723
BaseRepresentation
bin101101010010100100101…
…111110111010101001100
3102000112102221210101111100
4231102210233313111030
5401443013001130012
610341440310023100
7440600125223133
oct55224457672514
912015387711440
103112320333132
11a9aa2276547a
12423231947a90
1319764b970b9a
14aa8cc31c91a
1555e5a3c78dc
hex2d4a4bf754c

3112320333132 has 72 divisors (see below), whose sum is σ = 8097908023296. Its totient is φ = 1007371832544.

The previous prime is 3112320333071. The next prime is 3112320333167. The reversal of 3112320333132 is 2313330232113.

3112320333132 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 320 + 3 + 331 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3112320333096 and 3112320333105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7026978 + ... + 7456745.

It is an arithmetic number, because the mean of its divisors is an integer number (112470944768).

Almost surely, 23112320333132 is an apocalyptic number.

It is an amenable number.

3112320333132 is an abundant number, since it is smaller than the sum of its proper divisors (4985587690164).

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

3112320333132 is a wasteful number, since it uses less digits than its factorization.

3112320333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483907 (or 14483902 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3112320333132 its reverse (2313330232113), we get a palindrome (5425650565245).

The spelling of 3112320333132 in words is "three trillion, one hundred twelve billion, three hundred twenty million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 127 141 188 254 282 381 423 508 564 762 846 1143 1524 1692 2286 4572 5969 11938 17907 23876 35814 53721 71628 107442 214884 14483723 28967446 43451169 57934892 86902338 130353507 173804676 260707014 521414028 680734981 1361469962 1839432821 2042204943 2722939924 3678865642 4084409886 5518298463 6126614829 7357731284 8168819772 11036596926 12253229658 16554895389 22073193852 24506459316 33109790778 66219581556 86453342587 172906685174 259360027761 345813370348 518720055522 778080083283 1037440111044 1556160166566 3112320333132