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200303121321 = 34101123719793
BaseRepresentation
bin1011101010001011111…
…1110001001110101001
3201011000110122211210000
42322202333301032221
511240210044340241
6232003515013213
720320461303432
oct2724277611651
9634013584700
10200303121321
1177a47987796
12329a113a209
1315b720708c4
1499a2468489
155324d9ceb6
hex2ea2ff13a9

200303121321 has 40 divisors (see below), whose sum is σ = 302440364424. Its totient is φ = 132099724800.

The previous prime is 200303121281. The next prime is 200303121373. The reversal of 200303121321 is 123121303002.

200303121321 is a `hidden beast` number, since 2 + 0 + 0 + 30 + 312 + 1 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138689952921 + 61613168400 = 372411^2 + 248220^2 .

It is not a de Polignac number, because 200303121321 - 215 = 200303088553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200303121294 and 200303121303.

It is not an unprimeable number, because it can be changed into a prime (200303121721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10110001 + ... + 10129793.

Almost surely, 2200303121321 is an apocalyptic number.

It is an amenable number.

200303121321 is a deficient number, since it is larger than the sum of its proper divisors (102137243103).

200303121321 is a wasteful number, since it uses less digits than its factorization.

200303121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21143 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200303121321 its reverse (123121303002), we get a palindrome (323424424323).

The spelling of 200303121321 in words is "two hundred billion, three hundred three million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 101 303 909 1237 2727 3711 8181 11133 19793 33399 59379 100197 124937 178137 374811 534411 1124433 1603233 1999093 3373299 5997279 10119897 17991837 24483941 53975511 73451823 161926533 220355469 661066407 1983199221 2472878041 7418634123 22255902369 66767707107 200303121321