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204120330201333 = 33721321487552341
BaseRepresentation
bin101110011010010101110111…
…110001011110100011110101
3222202201201020202211100002000
4232122111313301132203311
5203223301414012420313
62002043330221205513
760665131032210300
oct5632256761364365
9882651222740060
10204120330201333
115a047a44aa11a7
121aa87a79700899
1389b86067b5280
1438596960a1b37
15188e988ec7673
hexb9a577c5e8f5

204120330201333 has 96 divisors (see below), whose sum is σ = 378849698680320. Its totient is φ = 107662660721280.

The previous prime is 204120330201331. The next prime is 204120330201377. The reversal of 204120330201333 is 333102033021402.

204120330201333 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 20 + 3 + 302 + 0 + 1 + 333 = 666.

It is not a de Polignac number, because 204120330201333 - 21 = 204120330201331 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 junction number, because it is equal to n+sod(n) for n = 204120330201297 and 204120330201306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204120330201331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369278743 + ... + 369831083.

It is an arithmetic number, because the mean of its divisors is an integer number (3946351027920).

Almost surely, 2204120330201333 is an apocalyptic number.

It is an amenable number.

204120330201333 is a deficient number, since it is larger than the sum of its proper divisors (174729368478987).

204120330201333 is a wasteful number, since it uses less digits than its factorization.

204120330201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573864 (or 573851 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 204120330201333 its reverse (333102033021402), we get a palindrome (537222363222735).

The spelling of 204120330201333 in words is "two hundred four trillion, one hundred twenty billion, three hundred thirty million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5733 17199 21487 64461 150409 193383 279331 451227 552341 580149 837993 1052863 1353681 1657023 1955317 2513979 3158589 3866387 4061043 4971069 5865951 7180433 7541937 9475767 11599161 13687219 14913207 17597853 21541299 27064709 28427301 34797483 41061657 50263031 52793559 64623897 81194127 104392449 123184971 150789093 193871691 243582381 351841217 369554913 452367279 730747143 1055523651 1357101837 3166570953 9499712859 11868151067 35604453201 83077057469 106813359603 154285963871 249231172407 320440078809 462857891613 581539402283 747693517221 1080001747097 1388573674839 1744618206849 2243080551663 3240005241291 4165721024517 5233854620547 7560012229679 9720015723873 15701563861641 22680036689037 29160047171619 68040110067111 204120330201333