Search a number
-
+
3011331300 = 2235283120937
BaseRepresentation
bin1011001101111101…
…0100010011100100
321202212100110221220
42303133110103210
522131400100200
61214451140340
7134423615355
oct26337242344
97685313856
103011331300
1113058aa85a
127005a46b0
1338cb51053
14207d15d2c
151295814a0
hexb37d44e4

3011331300 has 72 divisors (see below), whose sum is σ = 8817831456. Its totient is φ = 793340160.

The previous prime is 3011331293. The next prime is 3011331311. The reversal of 3011331300 is 31331103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3011331300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35569 + ... + 85368.

Almost surely, 23011331300 is an apocalyptic number.

3011331300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3011331300 is an abundant number, since it is smaller than the sum of its proper divisors (5806500156).

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

3011331300 is a wasteful number, since it uses less digits than its factorization.

3011331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121037 (or 121030 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 3011331300 is about 54875.5984022042. The cubic root of 3011331300 is about 1444.0631291733.

Adding to 3011331300 its reverse (31331103), we get a palindrome (3042662403).

The spelling of 3011331300 in words is "three billion, eleven million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 120937 241874 362811 483748 604685 725622 1209370 1451244 1814055 2418740 3023425 3628110 6046850 7256220 9070275 10037771 12093700 18140550 20075542 30113313 36281100 40151084 50188855 60226626 100377710 120453252 150566565 200755420 250944275 301133130 501888550 602266260 752832825 1003777100 1505665650 3011331300