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2002123201 = 13179059381
BaseRepresentation
bin111011101010101…
…1111100111000001
312011112100101201011
41313111133213001
513100020420301
6530400240521
7100420523611
oct16725374701
95145311634
102002123201
11938167881
1247a610141
1325ba3b8b0
1414dc8ca41
15bab81a51
hex7755f9c1

2002123201 has 8 divisors (see below), whose sum is σ = 2282964264. Its totient is φ = 1739400960.

The previous prime is 2002123183. The next prime is 2002123217. The reversal of 2002123201 is 1023212002.

It can be written as a sum of positive squares in 4 ways, for example, as 386083201 + 1616040000 = 19649^2 + 40200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002123201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002123241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4529470 + ... + 4529911.

It is an arithmetic number, because the mean of its divisors is an integer number (285370533).

Almost surely, 22002123201 is an apocalyptic number.

It is an amenable number.

2002123201 is a deficient number, since it is larger than the sum of its proper divisors (280841063).

2002123201 is a wasteful number, since it uses less digits than its factorization.

2002123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059411.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2002123201 is about 44745.0913620701. The cubic root of 2002123201 is about 1260.3667364905.

Adding to 2002123201 its reverse (1023212002), we get a palindrome (3025335203).

The spelling of 2002123201 in words is "two billion, two million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 13 17 221 9059381 117771953 154009477 2002123201