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1022001309 = 32737438439
BaseRepresentation
bin111100111010101…
…000000010011101
32122020002001020100
4330322220002131
54043113020214
6245225011313
734216603440
oct7472500235
92566061210
101022001309
1148499078a
12246323b39
13133971504
1499a37657
155eaca309
hex3cea809d

1022001309 has 24 divisors (see below), whose sum is σ = 1732714880. Its totient is φ = 568215648.

The previous prime is 1022001293. The next prime is 1022001311. The reversal of 1022001309 is 9031002201.

It is a happy number.

1022001309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1022001309 - 24 = 1022001293 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022001291 and 1022001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022001319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216889 + ... + 221550.

Almost surely, 21022001309 is an apocalyptic number.

It is an amenable number.

1022001309 is a deficient number, since it is larger than the sum of its proper divisors (710713571).

1022001309 is a wasteful number, since it uses less digits than its factorization.

1022001309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438489 (or 438486 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1022001309 is about 31968.7551994131. The cubic root of 1022001309 is about 1007.2806334009.

The spelling of 1022001309 in words is "one billion, twenty-two million, one thousand, three hundred nine".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 438439 1315317 3069073 3945951 9207219 16222243 27621657 48666729 113555701 146000187 340667103 1022001309