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1021011012 = 223274051631
BaseRepresentation
bin111100110110110…
…110010001000100
32122011012201210200
4330312312101010
54042334323022
6245151450500
734205310330
oct7466662104
92564181720
101021011012
1148437475a
12245b26a30
131336b5838
149985a7c0
155e981bac
hex3cdb6444

1021011012 has 36 divisors (see below), whose sum is σ = 2949588096. Its totient is φ = 291717360.

The previous prime is 1021011011. The next prime is 1021011031. The reversal of 1021011012 is 2101101201.

It is a happy number.

1021011012 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 (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 = 1021010985 and 1021011003.

It is not an unprimeable number, because it can be changed into a prime (1021011011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2025564 + ... + 2026067.

Almost surely, 21021011012 is an apocalyptic number.

1021011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021011012 is an abundant number, since it is smaller than the sum of its proper divisors (1928577084).

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

1021011012 is a wasteful number, since it uses less digits than its factorization.

1021011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051648 (or 4051643 counting only the distinct ones).

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

The square root of 1021011012 is about 31953.2629319761. The cubic root of 1021011012 is about 1006.9551839318.

Adding to 1021011012 its reverse (2101101201), we get a palindrome (3122112213).

The spelling of 1021011012 in words is "one billion, twenty-one million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4051631 8103262 12154893 16206524 24309786 28361417 36464679 48619572 56722834 72929358 85084251 113445668 145858716 170168502 255252753 340337004 510505506 1021011012