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1123132085730 = 2325106111761777
BaseRepresentation
bin10000010101111111111…
…000111001010111100010
310222101000000011110212200
4100111333320321113202
5121400133303220410
62215543150234030
7144100155132504
oct20257770712742
93871000143780
101123132085730
113a3354867416
121618067b5916
1381bac333375
143c507739d74
151e3366a23c0
hex1057fe395e2

1123132085730 has 48 divisors (see below), whose sum is σ = 2922895927224. Its totient is φ = 299219581440.

The previous prime is 1123132085729. The next prime is 1123132085731. The reversal of 1123132085730 is 375802313211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123132085729) and next prime (1123132085731).

It can be written as a sum of positive squares in 4 ways, for example, as 1058340965049 + 64791120681 = 1028757^2 + 254541^2 .

It is a super-2 number, since 2×11231320857302 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123132085731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5785399 + ... + 5976378.

Almost surely, 21123132085730 is an apocalyptic number.

1123132085730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1123132085730 is an abundant number, since it is smaller than the sum of its proper divisors (1799763841494).

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

1123132085730 is a wasteful number, since it uses less digits than its factorization.

1123132085730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762851 (or 11762848 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 1123132085730 its reverse (375802313211), we get a palindrome (1498934398941).

The spelling of 1123132085730 in words is "one trillion, one hundred twenty-three billion, one hundred thirty-two million, eighty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1061 2122 3183 5305 6366 9549 10610 15915 19098 31830 47745 95490 11761777 23523554 35285331 58808885 70570662 105855993 117617770 176426655 211711986 352853310 529279965 1058559930 12479245397 24958490794 37437736191 62396226985 74875472382 112313208573 124792453970 187188680955 224626417146 374377361910 561566042865 1123132085730