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2003231200221 = 32451374931237
BaseRepresentation
bin11101001001101001111…
…000100101001111011101
321002111200121220211101100
4131021221320211033131
5230310104141401341
64132134404503313
7264504636152616
oct35115170451735
97074617824340
102003231200221
11702624874399
122842a60aab39
13116b99b08274
146cd57a7ac0d
15371969e03b6
hex1d269e253dd

2003231200221 has 12 divisors (see below), whose sum is σ = 2893620870972. Its totient is φ = 1335457608576.

The previous prime is 2003231200189. The next prime is 2003231200253. The reversal of 2003231200221 is 1220021323002.

2003231200221 is a `hidden beast` number, since 2 + 0 + 0 + 323 + 120 + 0 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (2003231200189) and next prime (2003231200253).

It can be written as a sum of positive squares in 2 ways, for example, as 380183228100 + 1623047972121 = 616590^2 + 1273989^2 .

It is not a de Polignac number, because 2003231200221 - 25 = 2003231200189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003231200194 and 2003231200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003231200291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2059386 + ... + 2871851.

It is an arithmetic number, because the mean of its divisors is an integer number (241135072581).

Almost surely, 22003231200221 is an apocalyptic number.

It is an amenable number.

2003231200221 is a deficient number, since it is larger than the sum of its proper divisors (890389670751).

2003231200221 is a wasteful number, since it uses less digits than its factorization.

2003231200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976380 (or 4976377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2003231200221 its reverse (1220021323002), we get a palindrome (3223252523223).

The spelling of 2003231200221 in words is "two trillion, three billion, two hundred thirty-one million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 45137 135411 406233 4931237 14793711 44381133 222581244469 667743733407 2003231200221