Search a number
-
+
3120110000000 = 2757729253
BaseRepresentation
bin101101011001110101000…
…011000101011110000000
3102001021112211102110120122
4231121311003011132000
5402104441130000000
610345205253355412
7441264143261150
oct55316503053600
912037484373518
103120110000000
11aa325a832494
12424846638b68
131982c074c616
14ab02aab4760
15562641c7085
hex2d6750c5780

3120110000000 has 768 divisors, whose sum is σ = 9370030700160. Its totient is φ = 1013376000000.

The previous prime is 3120109999997. The next prime is 3120110000009. The reversal of 3120110000000 is 110213.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120110000009) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 58869999974 + ... + 58870000026.

Almost surely, 23120110000000 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 3120110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685015350080).

3120110000000 is an abundant number, since it is smaller than the sum of its proper divisors (6249920700160).

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

3120110000000 is an frugal number, since it uses more digits than its factorization.

3120110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 3120110000000 its reverse (110213), we get a palindrome (3120110110213).

The spelling of 3120110000000 in words is "three trillion, one hundred twenty billion, one hundred ten million", and thus it is an aban number.