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1020994209 = 32106512
BaseRepresentation
bin111100110110110…
…010001010100001
32122011011212202100
4330312302022201
54042333303314
6245151241013
734205210334
oct7466621241
92564155670
101020994209
11484363074
12245b19169
131336aacb1
149985461b
155e97bc09
hex3cdb22a1

1020994209 has 9 divisors (see below), whose sum is σ = 1474907889. Its totient is φ = 680598900.

The previous prime is 1020994199. The next prime is 1020994217. The reversal of 1020994209 is 9024990201.

The square root of 1020994209 is 31953.

It is a perfect power (a square), and thus also a powerful number.

1020994209 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 (9).

It is a de Polignac number, because none of the positive numbers 2k-1020994209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020994309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90534 + ... + 101184.

Almost surely, 21020994209 is an apocalyptic number.

1020994209 is the 31953-rd square number.

1020994209 is the 15977-th centered octagonal number.

It is an amenable number.

1020994209 is a deficient number, since it is larger than the sum of its proper divisors (453913680).

1020994209 is an frugal number, since it uses more digits than its factorization.

1020994209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21308 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 1020994209 is about 1006.9496600081.

Multiplying 1020994209 by its sum of digits (36), we get a square (36755791524 = 1917182).

Multiplying 1020994209 by its product of nonzero digits (11664), we get a square (11908876453776 = 34509242).

The spelling of 1020994209 in words is "one billion, twenty million, nine hundred ninety-four thousand, two hundred nine".

Divisors: 1 3 9 10651 31953 95859 113443801 340331403 1020994209