Search a number
-
+
212004321102 = 232725916692441
BaseRepresentation
bin1100010101110001110…
…0010011011101001110
3202021012221112101021200
43011130130103131032
511433141101233402
6241220552210330
721213443665500
oct3053434233516
9667187471250
10212004321102
1181a01a04332
12351079999a6
1316cb8337762
14a392505d70
1557ac29a21c
hex315c71374e

212004321102 has 144 divisors (see below), whose sum is σ = 543942313200. Its totient is φ = 59485950720.

The previous prime is 212004321083. The next prime is 212004321119. The reversal of 212004321102 is 201123400212.

It is a happy number.

212004321102 is a `hidden beast` number, since 2 + 120 + 0 + 432 + 110 + 2 = 666.

212004321102 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 86850202 + ... + 86852642.

It is an arithmetic number, because the mean of its divisors is an integer number (3777377175).

Almost surely, 2212004321102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212004321102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271971156600).

212004321102 is an abundant number, since it is smaller than the sum of its proper divisors (331937992098).

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

212004321102 is a wasteful number, since it uses less digits than its factorization.

212004321102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212004321102 its reverse (201123400212), we get a palindrome (413127721314).

The spelling of 212004321102 in words is "two hundred twelve billion, four million, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 177 294 354 413 441 531 826 882 1062 1239 1669 2441 2478 2891 3338 3717 4882 5007 5782 7323 7434 8673 10014 11683 14646 15021 17087 17346 21969 23366 26019 30042 34174 35049 43938 51261 52038 70098 81781 98471 102522 105147 119609 144019 153783 163562 196942 210294 239218 245343 288038 295413 307566 358827 432057 490686 590826 689297 717654 736029 864114 886239 1008133 1076481 1296171 1378594 1472058 1772478 2016266 2067891 2152962 2592342 3024399 4074029 4135782 4825079 6048798 6203673 7056931 8148058 9073197 9650158 12222087 12407346 14113862 14475237 18146394 21170793 24444174 28518203 28950474 36666261 42341586 43425711 57036406 63512379 73332522 85554609 86851422 127024758 171109218 199627421 240367711 256663827 399254842 480735422 513327654 598882263 721103133 1197764526 1442206266 1682573977 1796646789 2163309399 3365147954 3593293578 4326618798 5047721931 10095443862 11778017839 15143165793 23556035678 30286331586 35334053517 70668107034 106002160551 212004321102