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200342432133 = 33174713170891
BaseRepresentation
bin1011101010010101010…
…1101110100110000101
3201011010012122001002000
42322211111232212011
511240300130312013
6232011441335513
720321446401264
oct2724525564605
9634105561060
10200342432133
1177a68097568
12329b2337599
1315b7a25583c
1499a777c5db
155328565973
hex2ea556e985

200342432133 has 64 divisors (see below), whose sum is σ = 323403632640. Its totient is φ = 122089593600.

The previous prime is 200342432123. The next prime is 200342432189. The reversal of 200342432133 is 331234243002.

200342432133 is a `hidden beast` number, since 20 + 0 + 3 + 424 + 3 + 213 + 3 = 666.

It is not a de Polignac number, because 200342432133 - 222 = 200338237829 is a prime.

It is a super-2 number, since 2×2003424321332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200342432097 and 200342432106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200342432123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790618 + ... + 2861508.

It is an arithmetic number, because the mean of its divisors is an integer number (5053181760).

Almost surely, 2200342432133 is an apocalyptic number.

It is an amenable number.

200342432133 is a deficient number, since it is larger than the sum of its proper divisors (123061200507).

200342432133 is a wasteful number, since it uses less digits than its factorization.

200342432133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71095 (or 71089 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 200342432133 its reverse (331234243002), we get a palindrome (531576675135).

The spelling of 200342432133 in words is "two hundred billion, three hundred forty-two million, four hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 47 51 131 141 153 393 423 459 799 1179 1269 2227 2397 3537 6157 6681 7191 18471 20043 21573 55413 60129 70891 104669 166239 212673 314007 638019 942021 1205147 1914057 2826063 3331877 3615441 9286721 9995631 10846323 27860163 29986893 32538969 56641909 83580489 89960679 157874257 169925727 250741467 436475887 473622771 509777181 1309427661 1420868313 1529331543 3928282983 4262604939 7420090079 11784848949 22260270237 66780810711 200342432133