Search a number
-
+
3043031021000 = 235331227432433
BaseRepresentation
bin101100010010000010110…
…010000111010111001000
3101202220121001201122002122
4230102002302013113020
5344324111420133000
610245541003350412
7432565100620565
oct54220262072710
911686531648078
103043031021000
11a735a6752753
12411914b22408
13190c588385c9
14a73d7c6386c
155425239b085
hex2c482c875c8

3043031021000 has 128 divisors (see below), whose sum is σ = 7382790005760. Its totient is φ = 1172755584000.

The previous prime is 3043031020993. The next prime is 3043031021003. The reversal of 3043031021000 is 1201303403.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3043031021000.

It is not an unprimeable number, because it can be changed into a prime (3043031021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6820784 + ... + 7253216.

It is an arithmetic number, because the mean of its divisors is an integer number (57678046920).

Almost surely, 23043031021000 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 3043031021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691395002880).

3043031021000 is an abundant number, since it is smaller than the sum of its proper divisors (4339758984760).

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

3043031021000 is a wasteful number, since it uses less digits than its factorization.

3043031021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432712 (or 432698 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3043031021000 its reverse (1201303403), we get a palindrome (3044232324403).

The spelling of 3043031021000 in words is "three trillion, forty-three billion, thirty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 227 248 250 310 454 500 620 775 908 1000 1135 1240 1550 1816 2270 3100 3875 4540 5675 6200 7037 7750 9080 11350 14074 15500 22700 28148 28375 31000 35185 45400 56296 56750 70370 113500 140740 175925 227000 281480 351850 432433 703700 864866 879625 1407400 1729732 1759250 2162165 3459464 3518500 4324330 7037000 8648660 10810825 13405423 17297320 21621650 26810846 43243300 53621692 54054125 67027115 86486600 98162291 107243384 108108250 134054230 196324582 216216500 268108460 335135575 392649164 432433000 490811455 536216920 670271150 785298328 981622910 1340542300 1675677875 1963245820 2454057275 2681084600 3043031021 3351355750 3926491640 4908114550 6086062042 6702711500 9816229100 12172124084 12270286375 13405423000 15215155105 19632458200 24344248168 24540572750 30430310210 49081145500 60860620420 76075775525 98162291000 121721240840 152151551050 304303102100 380378877625 608606204200 760757755250 1521515510500 3043031021000