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1120130143002 = 2321337364120021
BaseRepresentation
bin10000010011001100111…
…101011001001100011010
310222002020210110222121200
4100103030331121030122
5121323011304034002
62214325232215030
7143632604056053
oct20231475311432
93862223428550
101120130143002
113a205429a412
1216110939a476
138182141b7b0
143c300b8972a
151e20cd77b1c
hex104ccf5931a

1120130143002 has 96 divisors (see below), whose sum is σ = 2624863537296. Its totient is φ = 343178035200.

The previous prime is 1120130142983. The next prime is 1120130143009. The reversal of 1120130143002 is 2003410310211.

1120130143002 is a `hidden beast` number, since 1 + 1 + 201 + 30 + 1 + 430 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 314428226121 + 805701916881 = 560739^2 + 897609^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1120130143009) 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 47 ways as a sum of consecutive naturals, for example, 55937752 + ... + 55957772.

Almost surely, 21120130143002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120130143002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312431768648).

1120130143002 is an abundant number, since it is smaller than the sum of its proper divisors (1504733394294).

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

1120130143002 is a wasteful number, since it uses less digits than its factorization.

1120130143002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21056 (or 21053 counting only the distinct ones).

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

Adding to 1120130143002 its reverse (2003410310211), we get a palindrome (3123540453213).

The spelling of 1120130143002 in words is "one trillion, one hundred twenty billion, one hundred thirty million, one hundred forty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 373 641 746 1119 1282 1923 2238 3357 3846 4849 5769 6714 8333 9698 11538 14547 16666 20021 24999 29094 40042 43641 49998 60063 74997 87282 120126 149994 180189 239093 260273 360378 478186 520546 717279 780819 1434558 1561638 2151837 2342457 3108209 4303674 4684914 6216418 7467833 9324627 12833461 14935666 18649254 22403499 25666922 27973881 38500383 44806998 55947762 67210497 77000766 97081829 115501149 134420994 166834993 194163658 231002298 291245487 333669986 500504979 582490974 873736461 1001009958 1501514937 1747472922 3003029874 4786880953 9573761906 14360642859 28721285718 43081928577 62229452389 86163857154 124458904778 186688357167 373376714334 560065071501 1120130143002