Search a number
-
+
1130644974120 = 2335315343913063
BaseRepresentation
bin10000011100111111101…
…100010010101000101000
311000002101120222202021020
4100130333230102220220
5122011030103132440
62223224445412440
7144454302465264
oct20347754225050
94002346882236
101130644974120
113a655a680692
1216316286a120
138280898485c
143ca1b4450a4
151e62602d3d0
hex1073fb12a28

1130644974120 has 256 divisors, whose sum is σ = 3575815372800. Its totient is φ = 285600107520.

The previous prime is 1130644974103. The next prime is 1130644974127. The reversal of 1130644974120 is 214794460311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1130644974127) 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 63 ways as a sum of consecutive naturals, for example, 86546709 + ... + 86559771.

It is an arithmetic number, because the mean of its divisors is an integer number (13968028800).

Almost surely, 21130644974120 is an apocalyptic number.

1130644974120 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 1130644974120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787907686400).

1130644974120 is an abundant number, since it is smaller than the sum of its proper divisors (2445170398680).

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

1130644974120 is a wasteful number, since it uses less digits than its factorization.

1130644974120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13600 (or 13596 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1130644974120 in words is "one trillion, one hundred thirty billion, six hundred forty-four million, nine hundred seventy-four thousand, one hundred twenty".