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1001022012 = 2232116323909
BaseRepresentation
bin111011101010100…
…110001000111100
32120202121012001100
4323222212020330
54022230201022
6243155213100
733543355344
oct7352461074
92522535040
101001022012
11474061721
1223b2a7190
1312c507423
1496d35d24
155cd341ac
hex3baa623c

1001022012 has 36 divisors (see below), whose sum is σ = 2532642840. Its totient is φ = 333373152.

The previous prime is 1001022007. The next prime is 1001022047. The reversal of 1001022012 is 2102201001.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1001021985 and 1001022003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29914 + ... + 53822.

It is an arithmetic number, because the mean of its divisors is an integer number (70351190).

Almost surely, 21001022012 is an apocalyptic number.

1001022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001022012 is an abundant number, since it is smaller than the sum of its proper divisors (1531620828).

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

1001022012 is a wasteful number, since it uses less digits than its factorization.

1001022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25082 (or 25077 counting only the distinct ones).

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

The square root of 1001022012 is about 31638.9319035899. The cubic root of 1001022012 is about 1000.3405546760.

Adding to 1001022012 its reverse (2102201001), we get a palindrome (3103223013).

The spelling of 1001022012 in words is "one billion, one million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1163 2326 3489 4652 6978 10467 13956 20934 23909 41868 47818 71727 95636 143454 215181 286908 430362 860724 27806167 55612334 83418501 111224668 166837002 250255503 333674004 500511006 1001022012