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2002022101 = 101137314437
BaseRepresentation
bin111011101010100…
…0110111011010101
312011112011021000201
41313111012323111
513100004201401
6530354140501
7100416623062
oct16725067325
95145137021
102002022101
119380a8922
1247a581731
1325ba04881
1414dc63c69
15bab61b01
hex77546ed5

2002022101 has 8 divisors (see below), whose sum is σ = 2023456824. Its totient is φ = 1980619200.

The previous prime is 2002022069. The next prime is 2002022117. The reversal of 2002022101 is 1012202002.

It can be written as a sum of positive squares in 4 ways, for example, as 1461227076 + 540795025 = 38226^2 + 23255^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2002022101 - 25 = 2002022069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002025101) 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, 131455 + ... + 145891.

It is an arithmetic number, because the mean of its divisors is an integer number (252932103).

Almost surely, 22002022101 is an apocalyptic number.

It is an amenable number.

2002022101 is a deficient number, since it is larger than the sum of its proper divisors (21434723).

2002022101 is a wasteful number, since it uses less digits than its factorization.

2002022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15911.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2002022101 is about 44743.9616149487. The cubic root of 2002022101 is about 1260.3455214754.

Adding to 2002022101 its reverse (1012202002), we get a palindrome (3014224103).

The spelling of 2002022101 in words is "two billion, two million, twenty-two thousand, one hundred one".

Divisors: 1 101 1373 14437 138673 1458137 19822001 2002022101