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230120200773 = 3529314992111
BaseRepresentation
bin1101011001010000111…
…0111001101001000101
3210222222110202102100000
43112110032321221011
512232241232411043
6253414334311513
722424410301301
oct3262416715105
9728873672300
10230120200773
1189658943911
1238722958599
131891457b698
14b1d0498d01
155ebc8e32d3
hex35943b9a45

230120200773 has 96 divisors (see below), whose sum is σ = 369008640000. Its totient is φ = 142990142400.

The previous prime is 230120200771. The next prime is 230120200781. The reversal of 230120200773 is 377002021032.

It is a happy number.

230120200773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230120200773 - 21 = 230120200771 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230120200771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109008988 + ... + 109011098.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840000).

Almost surely, 2230120200773 is an apocalyptic number.

It is an amenable number.

230120200773 is a deficient number, since it is larger than the sum of its proper divisors (138888439227).

230120200773 is a wasteful number, since it uses less digits than its factorization.

230120200773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 230120200773 in words is "two hundred thirty billion, one hundred twenty million, two hundred thousand, seven hundred seventy-three".

Divisors: 1 3 9 27 29 31 81 87 93 243 261 279 499 783 837 899 1497 2111 2349 2511 2697 4491 6333 7047 7533 8091 13473 14471 15469 18999 24273 40419 43413 46407 56997 61219 65441 72819 121257 130239 139221 170991 183657 196323 218457 390717 417663 448601 512973 550971 588969 1053389 1172151 1252989 1345803 1652913 1766907 1897789 3160167 3516453 3758967 4037409 4958739 5300721 5693367 9480501 12112227 14876217 15902163 17080101 28441503 30548281 32655059 36336681 51240303 85324509 91644843 97965177 109010043 153720909 255973527 274934529 293895531 461162727 824803587 881686593 946996711 2474410761 2645059779 2840990133 7423232283 7935179337 8522970399 25568911197 76706733591 230120200773