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1130144000310 = 232513965935043
BaseRepresentation
bin10000011100100001110…
…101001110100100110110
311000001002200022122101200
4100130201311032210312
5122004013331002220
62223103032033330
7144436010334243
oct20344165164466
94001080278350
101130144000310
113a6322909646
12163042b32846
1382758c4b450
143c9b0ab85ca
151e5e7071890
hex10721d4e936

1130144000310 has 48 divisors (see below), whose sum is σ = 3164403204144. Its totient is φ = 278189292096.

The previous prime is 1130144000261. The next prime is 1130144000311. The reversal of 1130144000310 is 130004410311.

1130144000310 is a `hidden beast` number, since 11 + 301 + 4 + 40 + 0 + 0 + 310 = 666.

It is a super-2 number, since 2×11301440003102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130144000311) 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 23 ways as a sum of consecutive naturals, for example, 482966352 + ... + 482968691.

It is an arithmetic number, because the mean of its divisors is an integer number (65925066753).

Almost surely, 21130144000310 is an apocalyptic number.

1130144000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1130144000310 is an abundant number, since it is smaller than the sum of its proper divisors (2034259203834).

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

1130144000310 is a wasteful number, since it uses less digits than its factorization.

1130144000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965935069 (or 965935066 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130144000310 its reverse (130004410311), we get a palindrome (1260148410621).

The spelling of 1130144000310 in words is "one trillion, one hundred thirty billion, one hundred forty-four million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 965935043 1931870086 2897805129 4829675215 5795610258 8693415387 9659350430 12557155559 14489025645 17386830774 25114311118 28978051290 37671466677 43467076935 62785777795 75342933354 86934153870 113014400031 125571555590 188357333385 226028800062 376714666770 565072000155 1130144000310