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1020111012 = 223228336417
BaseRepresentation
bin111100110011011…
…010100010100100
32122002112000020100
4330303122202210
54042122023022
6245120304100
734164541404
oct7463324244
92562460210
101020111012
1148390a558
12245772030
1313345bcab
14996a4804
155e8551ac
hex3ccda8a4

1020111012 has 18 divisors (see below), whose sum is σ = 2578614038. Its totient is φ = 340036992.

The previous prime is 1020111011. The next prime is 1020111013. The reversal of 1020111012 is 2101110201.

It is a happy number.

1020111012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020111011) and next prime (1020111013).

It can be written as a sum of positive squares in only one way, i.e., 814303296 + 205807716 = 28536^2 + 14346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 1020110985 and 1020111003.

It is not an unprimeable number, because it can be changed into a prime (1020111011) 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, 14168173 + ... + 14168244.

Almost surely, 21020111012 is an apocalyptic number.

1020111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020111012 is an abundant number, since it is smaller than the sum of its proper divisors (1558503026).

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

1020111012 is a wasteful number, since it uses less digits than its factorization.

1020111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336427 (or 28336422 counting only the distinct ones).

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

The square root of 1020111012 is about 31939.1767583324. The cubic root of 1020111012 is about 1006.6592269282.

Adding to 1020111012 its reverse (2101110201), we get a palindrome (3121221213).

The spelling of 1020111012 in words is "one billion, twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28336417 56672834 85009251 113345668 170018502 255027753 340037004 510055506 1020111012