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1020202001 = 72131601573
BaseRepresentation
bin111100110011110…
…000110000010001
32122002200122001022
4330303300300101
54042132431001
6245122245225
734165400600
oct7463606021
92562618038
101020202001
11483971955
122457b6815
13133491530
14996c9a37
155e87211b
hex3ccf0c11

1020202001 has 12 divisors (see below), whose sum is σ = 1278056052. Its totient is φ = 807192288.

The previous prime is 1020201989. The next prime is 1020202009. The reversal of 1020202001 is 1002020201.

It can be written as a sum of positive squares in 2 ways, for example, as 230310976 + 789891025 = 15176^2 + 28105^2 .

It is not a de Polignac number, because 1020202001 - 210 = 1020200977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020202001.

It is not an unprimeable number, because it can be changed into a prime (1020202009) 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, 800150 + ... + 801423.

It is an arithmetic number, because the mean of its divisors is an integer number (106504671).

Almost surely, 21020202001 is an apocalyptic number.

It is an amenable number.

1020202001 is a deficient number, since it is larger than the sum of its proper divisors (257854051).

1020202001 is a wasteful number, since it uses less digits than its factorization.

1020202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601600 (or 1601593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1020202001 is about 31940.6011371107. The cubic root of 1020202001 is about 1006.6891557602.

Adding to 1020202001 its reverse (1002020201), we get a palindrome (2022222202).

It can be divided in two parts, 102020200 and 1, that added together give a palindrome (102020201).

The spelling of 1020202001 in words is "one billion, twenty million, two hundred two thousand, one".

Divisors: 1 7 13 49 91 637 1601573 11211011 20820449 78477077 145743143 1020202001