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1130300303232 = 27324171916987
BaseRepresentation
bin10000011100101011001…
…001011110011110000000
311000001111120102122200210
4100130223021132132000
5122004323334200412
62223130334114120
7144442616025012
oct20345311363600
94001446378623
101130300303232
113a63a3066311
1216308734b940
1382782446199
143c9c77641b2
151e605b4883c
hex1072b25e780

1130300303232 has 128 divisors (see below), whose sum is σ = 3019188902400. Its totient is φ = 374659522560.

The previous prime is 1130300303213. The next prime is 1130300303243. The reversal of 1130300303232 is 2323030030311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11303003032322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130300303199 and 1130300303208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66530643 + ... + 66547629.

It is an arithmetic number, because the mean of its divisors is an integer number (23587413300).

Almost surely, 21130300303232 is an apocalyptic number.

1130300303232 is a gapful number since it is divisible by the number (12) 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 1130300303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509594451200).

1130300303232 is an abundant number, since it is smaller than the sum of its proper divisors (1888888599168).

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

1130300303232 is a wasteful number, since it uses less digits than its factorization.

1130300303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17964 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1130300303232 its reverse (2323030030311), we get a palindrome (3453330333543).

The spelling of 1130300303232 in words is "one trillion, one hundred thirty billion, three hundred million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 719 723 964 1438 1446 1928 2157 2876 2892 3856 4314 5752 5784 7712 8628 11504 11568 15424 16987 17256 23008 23136 30848 33974 34512 46016 46272 50961 67948 69024 92032 92544 101922 135896 138048 173279 203844 271792 276096 346558 407688 519837 543584 693116 815376 1039674 1087168 1386232 1630752 2079348 2174336 2772464 3261504 4093867 4158696 5544928 6523008 8187734 8317392 11089856 12213653 12281601 16375468 16634784 22179712 24427306 24563202 32750936 33269568 36640959 48854612 49126404 65501872 66539136 73281918 97709224 98252808 131003744 146563836 195418448 196505616 262007488 293127672 390836896 393011232 524014976 586255344 781673792 786022464 1172510688 1563347584 1572044928 2345021376 2943490373 4690042752 5886980746 8830471119 11773961492 17660942238 23547922984 35321884476 47095845968 70643768952 94191691936 141287537904 188383383872 282575075808 376766767744 565150151616 1130300303232