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2127085522821 = 3272172916196043
BaseRepresentation
bin11110111101000000001…
…011010100111110000101
321112100101020200022111200
4132331000023110332011
5234322232343212241
64305100344453113
7306451106424300
oct36750013247605
97470336608450
102127085522821
11750101363096
122a42b077a199
1312577769979c
1474d46c55b37
153a4e50424b6
hex1ef402d4f85

2127085522821 has 144 divisors (see below), whose sum is σ = 3917882779200. Its totient is φ = 1103666328576.

The previous prime is 2127085522811. The next prime is 2127085522847. The reversal of 2127085522821 is 1282255807212.

2127085522821 is a `hidden beast` number, since 2 + 1 + 2 + 70 + 8 + 552 + 2 + 8 + 21 = 666.

It is not a de Polignac number, because 2127085522821 - 27 = 2127085522693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127085522811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351988626 + ... + 351994668.

It is an arithmetic number, because the mean of its divisors is an integer number (27207519300).

Almost surely, 22127085522821 is an apocalyptic number.

2127085522821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2127085522821 is a deficient number, since it is larger than the sum of its proper divisors (1790797256379).

2127085522821 is a wasteful number, since it uses less digits than its factorization.

2127085522821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 2127085522821 in words is "two trillion, one hundred twenty-seven billion, eighty-five million, five hundred twenty-two thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 17 21 29 49 51 63 87 119 147 153 203 261 357 441 493 609 833 1071 1421 1479 1619 1827 2499 3451 4263 4437 4857 6043 7497 10353 11333 12789 14571 18129 24157 27523 31059 33999 42301 46951 54387 72471 79331 82569 101997 102731 126903 140853 175247 192661 217413 237993 247707 296107 308193 328657 380709 422559 525741 577983 713979 719117 798167 888321 924579 985971 1226729 1348627 1577223 1733949 2157351 2300599 2394501 2664963 2957913 2979199 3680187 4045881 5033819 5587169 6472053 6901797 7183503 8587103 8937597 9783617 11040561 12137643 15101457 16761507 20705391 20854393 25761309 26812791 29350851 39110183 45304371 50284521 62563179 68485319 77283927 88052553 117330549 145980751 166321489 187689537 205455957 283724893 351991647 437942253 479397233 498964467 616367871 851174679 1164250423 1313826759 1438191699 1496893401 1986074251 2553524037 3492751269 4314575097 4823323181 5958222753 8149752961 10478253807 13902519757 14469969543 17874668259 24449258883 33763262267 41707559271 43409908629 73347776649 101289786801 125122677813 236342835869 303869360403 709028507607 2127085522821