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1000221012 = 2232712731253
BaseRepresentation
bin111011100111100…
…010100101010100
32120201002111021200
4323213202211110
54022024033022
6243130112500
733533511150
oct7347424524
92521074250
101000221012
1147366493a
1223ab7b730
1312c2b696b
1496ba8060
155cc26bac
hex3b9e2954

1000221012 has 72 divisors (see below), whose sum is σ = 2912372736. Its totient is φ = 283518144.

The previous prime is 1000221007. The next prime is 1000221017. The reversal of 1000221012 is 2101220001.

It is an interprime number because it is at equal distance from previous prime (1000221007) and next prime (1000221017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000220985 and 1000221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000221017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16378 + ... + 47630.

Almost surely, 21000221012 is an apocalyptic number.

1000221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456186368).

1000221012 is an abundant number, since it is smaller than the sum of its proper divisors (1912151724).

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

1000221012 is a wasteful number, since it uses less digits than its factorization.

1000221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31397 (or 31392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000221012 is about 31626.2709151743. The cubic root of 1000221012 is about 1000.0736652400.

Adding to 1000221012 its reverse (2101220001), we get a palindrome (3101441013).

The spelling of 1000221012 in words is "one billion, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 31253 32004 62506 93759 125012 187518 218771 281277 375036 437542 562554 656313 875084 1125108 1312626 1968939 2625252 3937878 3969131 7875756 7938262 11907393 15876524 23814786 27783917 35722179 47629572 55567834 71444358 83351751 111135668 142888716 166703502 250055253 333407004 500110506 1000221012