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204034112211303 = 331159731105914423
BaseRepresentation
bin101110011001000101100100…
…110001111100100101100111
3222202102110201002110122022000
4232121011210301330211213
5203220343330211230203
62001535551022340343
760655656335325003
oct5631054461744547
9882373632418260
10204034112211303
115a014421204190
121aa7321742a6b3
1389b044639bb1a
1438554375b1703
15188c5debb14a3
hexb99164c7c967

204034112211303 has 128 divisors (see below), whose sum is σ = 339989142528000. Its totient is φ = 119876780839680.

The previous prime is 204034112211289. The next prime is 204034112211311. The reversal of 204034112211303 is 303112211430402.

204034112211303 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 3 + 411 + 2 + 211 + 30 + 3 = 666.

It is not a de Polignac number, because 204034112211303 - 28 = 204034112211047 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204034112211323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14146433350 + ... + 14146447772.

It is an arithmetic number, because the mean of its divisors is an integer number (2656165176000).

Almost surely, 2204034112211303 is an apocalyptic number.

204034112211303 is a deficient number, since it is larger than the sum of its proper divisors (135955030316697).

204034112211303 is a wasteful number, since it uses less digits than its factorization.

204034112211303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 204034112211303 its reverse (303112211430402), we get a palindrome (507146323641705).

The spelling of 204034112211303 in words is "two hundred four trillion, thirty-four billion, one hundred twelve million, two hundred eleven thousand, three hundred three".

Divisors: 1 3 9 11 27 33 59 73 99 177 219 297 531 649 657 803 1593 1947 1971 2409 4307 5841 7227 11059 12921 14423 17523 21681 33177 38763 43269 47377 99531 116289 121649 129807 142131 158653 298593 364947 389421 426393 475959 652481 807307 850957 1052879 1094841 1279179 1427877 1957443 2421921 2552871 3158637 3284523 4283631 5872329 7177291 7265763 7658613 8880377 9360527 9475911 11581669 17616987 21531873 21797289 22975839 26641131 28081581 28427733 34745007 47631113 62119861 64595619 79923393 84244743 104235021 142893339 159503957 186359583 193786857 239770179 252734229 312705063 428680017 478511871 523942243 559078749 683318471 1286040051 1435535613 1571826729 1677236247 1754543527 2049955413 4306606839 4715480187 5263630581 6149866239 9410733463 11643788861 14146440561 15790891743 18449598717 28232200389 34931366583 47372675229 84696601167 103518068093 104794099749 128081677471 254089803501 310554204279 314382299247 384245032413 686983542799 931662612837 1152735097239 2060950628397 2794987838511 3458205291717 6182851885191 7556818970789 18548555655573 22670456912367 68011370737101 204034112211303