Search a number
-
+
200102133 = 37211671847
BaseRepresentation
bin10111110110101…
…01000011110101
3111221112020112010
423323111003311
5402211232013
631504514433
74646561100
oct1373250365
9457466463
10200102133
11a2a52770
125701ba19
13325c193a
141c80b737
15128797c3
hexbed50f5

200102133 has 48 divisors (see below), whose sum is σ = 343816704. Its totient is φ = 102342240.

The previous prime is 200102113. The next prime is 200102153. The reversal of 200102133 is 331201002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200102113) and next prime (200102153).

It is not a de Polignac number, because 200102133 - 25 = 200102101 is a prime.

It is a super-2 number, since 2×2001021332 = 80081727262299378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107416 + ... + 109262.

It is an arithmetic number, because the mean of its divisors is an integer number (7162848).

Almost surely, 2200102133 is an apocalyptic number.

It is an amenable number.

200102133 is a deficient number, since it is larger than the sum of its proper divisors (143714571).

200102133 is a wasteful number, since it uses less digits than its factorization.

200102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200102133 is about 14145.7461096967. The cubic root of 200102133 is about 584.9030769370.

Adding to 200102133 its reverse (331201002), we get a palindrome (531303135).

The spelling of 200102133 in words is "two hundred million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 33 49 67 77 147 201 231 469 539 737 1407 1617 1847 2211 3283 5159 5541 9849 12929 15477 20317 36113 38787 60951 90503 108339 123749 142219 271509 371247 426657 866243 995533 1361239 2598729 2986599 4083717 6063701 9528673 18191103 28586019 66700711 200102133