Search a number
-
+
210200323002012 = 22327978599260473
BaseRepresentation
bin101111110010110100010011…
…100101011000111010011100
31000120020221202220221012100200
4233302310103211120322130
5210022410230142031022
62023020410103423500
762163320646260010
oct5762642345307234
91016227686835320
10210200323002012
1160a81502472782
121b6aa292a54b90
139039a61629005
1439c9a6dab4540
151947bd59aabac
hexbf2d13958e9c

210200323002012 has 72 divisors (see below), whose sum is σ = 613505639257056. Its totient is φ = 59438088382464.

The previous prime is 210200323001989. The next prime is 210200323002029.

210200323002012 is a `hidden beast` number, since 210 + 20 + 0 + 3 + 230 + 0 + 201 + 2 = 666.

210200323002012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4299605793 + ... + 4299654680.

It is an arithmetic number, because the mean of its divisors is an integer number (8520911656348).

Almost surely, 2210200323002012 is an apocalyptic number.

It is an amenable number.

210200323002012 is an abundant number, since it is smaller than the sum of its proper divisors (403305316255044).

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

210200323002012 is a wasteful number, since it uses less digits than its factorization.

210200323002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599260587 (or 8599260582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 210200323002012 in words is "two hundred ten trillion, two hundred billion, three hundred twenty-three million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 8599260473 17198520946 25797781419 34397041892 51595562838 60194823311 77393344257 103191125676 120389646622 154786688514 180584469933 240779293244 309573377028 361168939866 541753409799 722337879732 834128265881 1083506819598 1668256531762 2167013639196 2502384797643 3336513063524 5004769595286 5838897861167 7507154392929 10009539190572 11677795722334 15014308785858 17516693583501 23355591444668 30028617571716 35033387167002 52550080750503 70066774334004 105100161501006 210200323002012