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1000121112 = 233213890571
BaseRepresentation
bin111011100111001…
…010001100011000
32120200220102020200
4323213022030120
54022012333422
6243124022200
733532613664
oct7347121430
92520812220
101000121112
114735a6881
1223ab31960
1312c280353
1496b7d8a4
155cc072ac
hex3b9ca318

1000121112 has 24 divisors (see below), whose sum is σ = 2708661540. Its totient is φ = 333373680.

The previous prime is 1000121093. The next prime is 1000121113. The reversal of 1000121112 is 2111210001.

It is a happy number.

1000121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 1000121094 and 1000121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6945214 + ... + 6945357.

Almost surely, 21000121112 is an apocalyptic number.

1000121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000121112 is an abundant number, since it is smaller than the sum of its proper divisors (1708540428).

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

1000121112 is a wasteful number, since it uses less digits than its factorization.

1000121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890583 (or 13890576 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1000121112 is about 31624.6914925664. The cubic root of 1000121112 is about 1000.0403690370.

Adding to 1000121112 its reverse (2111210001), we get a palindrome (3111331113).

Subtracting 1000121112 from its reverse (2111210001), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 100012 and 1112, that added together give a square (101124 = 3182).

The spelling of 1000121112 in words is "one billion, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13890571 27781142 41671713 55562284 83343426 111124568 125015139 166686852 250030278 333373704 500060556 1000121112