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1001012700 = 2235217196277
BaseRepresentation
bin111011101010100…
…011110111011100
32120202120201021110
4323222203313130
54022224401300
6243155102020
733543316242
oct7352436734
92522521243
101001012700
11474055726
1223b2a1910
1312c50310c
1496d32792
155cd31550
hex3baa3ddc

1001012700 has 72 divisors (see below), whose sum is σ = 3066647472. Its totient is φ = 251233280.

The previous prime is 1001012699. The next prime is 1001012711. The reversal of 1001012700 is 72101001.

It is a super-2 number, since 2×10010127002 = 2004052851122580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93039 + ... + 103238.

It is an arithmetic number, because the mean of its divisors is an integer number (42592326).

Almost surely, 21001012700 is an apocalyptic number.

1001012700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012700 is an abundant number, since it is smaller than the sum of its proper divisors (2065634772).

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

1001012700 is a wasteful number, since it uses less digits than its factorization.

1001012700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196311 (or 196304 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1001012700 is about 31638.7847427805. The cubic root of 1001012700 is about 1000.3374527795.

Adding to 1001012700 its reverse (72101001), we get a palindrome (1073113701).

The spelling of 1001012700 in words is "one billion, one million, twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 196277 392554 588831 785108 981385 1177662 1962770 2355324 2944155 3336709 3925540 4906925 5888310 6673418 9813850 10010127 11776620 13346836 14720775 16683545 19627700 20020254 29441550 33367090 40040508 50050635 58883100 66734180 83417725 100101270 166835450 200202540 250253175 333670900 500506350 1001012700