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211034241003204 = 2232236112233416381
BaseRepresentation
bin101111111110111100111100…
…111110000110111011000100
31000200012200021002202220221200
4233332330330332012323010
5210130041111144100304
62024455443020342500
762310502136314623
oct5776747476067304
91020180232686850
10211034241003204
1161273134438813
121b803a243a4a30
13909a59c5ac078
143a1817c9716ba
15195e741850e39
hexbfef3cf86ec4

211034241003204 has 144 divisors (see below), whose sum is σ = 566229075519744. Its totient is φ = 66129091142400.

The previous prime is 211034241003169. The next prime is 211034241003329. The reversal of 211034241003204 is 402300142430112.

211034241003204 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 3 + 42 + 410 + 0 + 3 + 204 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60063094 + ... + 63479474.

It is an arithmetic number, because the mean of its divisors is an integer number (3932146357776).

Almost surely, 2211034241003204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211034241003204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283114537759872).

211034241003204 is an abundant number, since it is smaller than the sum of its proper divisors (355194834516540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211034241003204 is a wasteful number, since it uses less digits than its factorization.

211034241003204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417698 (or 3417693 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211034241003204 its reverse (402300142430112), we get a palindrome (613334383433316).

The spelling of 211034241003204 in words is "two hundred eleven trillion, thirty-four billion, two hundred forty-one million, three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 732 828 1098 1223 1403 2196 2446 2806 3669 4209 4892 5612 7338 8418 11007 12627 14676 16836 22014 25254 28129 44028 50508 56258 74603 84387 112516 149206 168774 223809 253161 298412 337548 447618 506322 671427 895236 1012644 1342854 1715869 2685708 3416381 3431738 5147607 6832762 6863476 10249143 10295214 13665524 15442821 20498286 20590428 30747429 30885642 40996572 61494858 61771284 78576763 122989716 157153526 208399241 235730289 314307052 416798482 471460578 625197723 707190867 833596964 942921156 1250395446 1414381734 1875593169 2500790892 2828763468 3751186338 4178233963 4793182543 7502372676 8356467926 9586365086 12534701889 14379547629 16712935852 19172730172 25069403778 28759095258 37604105667 43138642887 50138807556 57518190516 75208211334 86277285774 96099381149 150416422668 172554571548 192198762298 254872271743 288298143447 384397524596 509744543486 576596286894 764616815229 864894430341 1019489086972 1153192573788 1529233630458 1729788860682 2293850445687 3058467260916 3459577721364 4587700891374 5862062250089 9175401782748 11724124500178 17586186750267 23448249000356 35172373500534 52758560250801 70344747001068 105517120501602 211034241003204