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2003042101 = 23237102337
BaseRepresentation
bin111011101100011…
…1111111100110101
312011121002002012111
41313120333330311
513100234321401
6530432051021
7100431401614
oct16730777465
95147062174
102003042101
119387351a5
1247a993a71
1325bca0c18
1415004b87b
15bacb3e51
hex7763ff35

2003042101 has 12 divisors (see below), whose sum is σ = 2150530732. Its totient is φ = 1864152576.

The previous prime is 2003042059. The next prime is 2003042137. The reversal of 2003042101 is 1012403002.

It can be written as a sum of positive squares in 2 ways, for example, as 1889640900 + 113401201 = 43470^2 + 10649^2 .

It is not a de Polignac number, because 2003042101 - 213 = 2003033909 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 (2003042141) 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, 31596 + ... + 70741.

Almost surely, 22003042101 is an apocalyptic number.

It is an amenable number.

2003042101 is a deficient number, since it is larger than the sum of its proper divisors (147488631).

2003042101 is a wasteful number, since it uses less digits than its factorization.

2003042101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102420 (or 102397 counting only the distinct ones).

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

The square root of 2003042101 is about 44755.3583495876. The cubic root of 2003042101 is about 1260.5595274663.

Adding to 2003042101 its reverse (1012403002), we get a palindrome (3015445103).

The spelling of 2003042101 in words is "two billion, three million, forty-two thousand, one hundred one".

Divisors: 1 23 37 529 851 19573 102337 2353751 3786469 54136273 87088787 2003042101