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1005212130 = 235137433469
BaseRepresentation
bin111011111010100…
…101000111100010
32121001111001210220
4323322211013202
54024313242010
6243425103510
733624106416
oct7372450742
92531431726
101005212130
1147646382a
12240787b96
131303436a0
1497706d46
155d3b0970
hex3bea51e2

1005212130 has 64 divisors (see below), whose sum is σ = 2602333440. Its totient is φ = 247032576.

The previous prime is 1005212113. The next prime is 1005212141. The reversal of 1005212130 is 312125001.

1005212130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288036 + ... + 291504.

It is an arithmetic number, because the mean of its divisors is an integer number (40661460).

Almost surely, 21005212130 is an apocalyptic number.

1005212130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301166720).

1005212130 is an abundant number, since it is smaller than the sum of its proper divisors (1597121310).

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

1005212130 is a wasteful number, since it uses less digits than its factorization.

1005212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1005212130 is about 31705.0805077041. The cubic root of 1005212130 is about 1001.7343668991.

Adding to 1005212130 its reverse (312125001), we get a palindrome (1317337131).

The spelling of 1005212130 in words is "one billion, five million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 743 1486 2229 3469 3715 4458 6938 7430 9659 10407 11145 17345 19318 20814 22290 28977 34690 45097 48295 52035 57954 90194 96590 104070 135291 144885 225485 270582 289770 450970 676455 1352910 2577467 5154934 7732401 12887335 15464802 25774670 33507071 38662005 67014142 77324010 100521213 167535355 201042426 335070710 502606065 1005212130