Search a number
-
+
1130142310000 = 24541140125621
BaseRepresentation
bin10000011100100001101…
…110110001111001110000
311000001002120010202201121
4100130201232301321300
5122004012412410000
62223102531512024
7144435660064234
oct20344156617160
94001076122647
101130142310000
113a63219646a0
12163042458614
13827587a8c72
143c9b07985c4
151e5e6d3ab1a
hex10721bb1e70

1130142310000 has 200 divisors, whose sum is σ = 2992492383408. Its totient is φ = 409920000000.

The previous prime is 1130142309997. The next prime is 1130142310049. The reversal of 1130142310000 is 132410311.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11301423100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 44097190 + ... + 44122810.

Almost surely, 21130142310000 is an apocalyptic number.

1130142310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130142310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496246191704).

1130142310000 is an abundant number, since it is smaller than the sum of its proper divisors (1862350073408).

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

1130142310000 is a wasteful number, since it uses less digits than its factorization.

1130142310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26061 (or 26040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1130142310000 its reverse (132410311), we get a palindrome (1130274720311).

The spelling of 1130142310000 in words is "one trillion, one hundred thirty billion, one hundred forty-two million, three hundred ten thousand".