Search a number
-
+
3010010000000 = 2757232569
BaseRepresentation
bin101011110011010010100…
…100111010101010000000
3101122202100202211221222212
4223303102210322222000
5343304000030000000
610222440212321252
7430315565565413
oct53632244725200
911582322757885
103010010000000
11a605a11a0953
1240743a313228
1318aac560bc23
14a59844ddb7a
155346d429c35
hex2bcd293aa80

3010010000000 has 384 divisors, whose sum is σ = 7849447678800. Its totient is φ = 1149632000000.

The previous prime is 3010009999891. The next prime is 3010010000017. The reversal of 3010010000000 is 100103.

It can be written as a sum of positive squares in 8 ways, for example, as 2976894735424 + 33115264576 = 1725368^2 + 181976^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5289999716 + ... + 5290000284.

Almost surely, 23010010000000 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 3010010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924723839400).

3010010000000 is an abundant number, since it is smaller than the sum of its proper divisors (4839437678800).

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

3010010000000 is an frugal number, since it uses more digits than its factorization.

3010010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 3010010000000 its reverse (100103), we get a palindrome (3010010100103).

The spelling of 3010010000000 in words is "three trillion, ten billion, ten million", and thus it is an aban number and an uban number.