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1001210144 = 251142137
BaseRepresentation
bin111011101011010…
…100000100100000
32120202221202010012
4323223110010200
54022302211034
6243203224052
733545101004
oct7353240440
92522852105
101001210144
11474180000
1223b378028
1312c571c4c
1496d84704
155cd6ecce
hex3bad4120

1001210144 has 60 divisors (see below), whose sum is σ = 2169246870. Its totient is φ = 454882560.

The previous prime is 1001210143. The next prime is 1001210167. The reversal of 1001210144 is 4410121001.

It can be written as a sum of positive squares in only one way, i.e., 989731600 + 11478544 = 31460^2 + 3388^2 .

It is not an unprimeable number, because it can be changed into a prime (1001210143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 467444 + ... + 469580.

Almost surely, 21001210144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084623435).

1001210144 is an abundant number, since it is smaller than the sum of its proper divisors (1168036726).

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

1001210144 is an frugal number, since it uses more digits than its factorization.

1001210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1001210144 is about 31641.9048731267. The cubic root of 1001210144 is about 1000.4032187261.

Adding to 1001210144 its reverse (4410121001), we get a palindrome (5411331145).

The spelling of 1001210144 in words is "one billion, one million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2137 2662 3872 4274 5324 8548 10648 14641 17096 21296 23507 29282 34192 42592 47014 58564 68384 94028 117128 188056 234256 258577 376112 468512 517154 752224 1034308 2068616 2844347 4137232 5688694 8274464 11377388 22754776 31287817 45509552 62575634 91019104 125151268 250302536 500605072 1001210144