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1000012112 = 241125122637
BaseRepresentation
bin111011100110101…
…111100101010000
32120200200212201122
4323212233211100
54022000341422
6243121421412
733531651131
oct7346574520
92520625648
101000012112
114735319a0
1223aa9a868
1312c242858
1496b51c88
155cbd4d42
hex3b9af950

1000012112 has 40 divisors (see below), whose sum is σ = 2122176672. Its totient is φ = 452720000.

The previous prime is 1000012037. The next prime is 1000012121. The reversal of 1000012112 is 2112100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1000012112.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 32858 + ... + 55494.

Almost surely, 21000012112 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 1000012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061088336).

1000012112 is an abundant number, since it is smaller than the sum of its proper divisors (1122164560).

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

1000012112 is a wasteful number, since it uses less digits than its factorization.

1000012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22907 (or 22901 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1000012112 is about 31622.9681086390. The cubic root of 1000012112 is about 1000.0040373170.

Adding to 1000012112 its reverse (2112100001), we get a palindrome (3112112113).

It can be divided in two parts, 100001 and 2112, that multiplied together give a palindrome (211202112).

The spelling of 1000012112 in words is "one billion, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 251 502 1004 2008 2761 4016 5522 11044 22088 22637 44176 45274 90548 181096 249007 362192 498014 996028 1992056 3984112 5681887 11363774 22727548 45455096 62500757 90910192 125001514 250003028 500006056 1000012112