Search a number
-
+
214132130202210 = 235113719789022533
BaseRepresentation
bin110000101100000010000101…
…100011100100001001100010
31001002011211110022211202000220
4300230002011203210021202
5211031320100312432320
62035230535333223510
763050351543116533
oct6054020543441142
91032154408752026
10214132130202210
1162257a210a4560
12200242a9191b96
13926375b51b51c
143ac409c42a68a
1519b5104d31e40
hexc2c0858e4262

214132130202210 has 128 divisors (see below), whose sum is σ = 578711991585024. Its totient is φ = 50251438863360.

The previous prime is 214132130202149. The next prime is 214132130202217. The reversal of 214132130202210 is 12202031231412.

It is not an unprimeable number, because it can be changed into a prime (214132130202217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42105897 + ... + 46916636.

It is an arithmetic number, because the mean of its divisors is an integer number (4521187434258).

Almost surely, 2214132130202210 is an apocalyptic number.

214132130202210 is an abundant number, since it is smaller than the sum of its proper divisors (364579861382814).

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

214132130202210 is a wasteful number, since it uses less digits than its factorization.

214132130202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89022788.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214132130202210 its reverse (12202031231412), we get a palindrome (226334161433622).

The spelling of 214132130202210 in words is "two hundred fourteen trillion, one hundred thirty-two billion, one hundred thirty million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 197 222 330 370 394 407 555 591 814 985 1110 1182 1221 1970 2035 2167 2442 2955 4070 4334 5910 6105 6501 7289 10835 12210 13002 14578 21670 21867 32505 36445 43734 65010 72890 80179 109335 160358 218670 240537 400895 481074 801790 1202685 2405370 89022533 178045066 267067599 445112665 534135198 890225330 979247863 1335337995 1958495726 2670675990 2937743589 3293833721 4896239315 5875487178 6587667442 9792478630 9881501163 14688717945 16469168605 17537439001 19763002326 29377435890 32938337210 35074878002 36232170931 49407505815 52612317003 72464341862 87687195005 98815011630 105224634006 108696512793 175374390010 181160854655 192911829011 217393025586 263061585015 362321709310 385823658022 526123170030 543482563965 578735487033 648885243037 964559145055 1086965127930 1157470974066 1297770486074 1929118290110 1946655729111 2893677435165 3244426215185 3893311458222 5787354870330 6488852430370 7137737673407 9733278645555 14275475346814 19466557291110 21413213020221 35688688367035 42826426040442 71377376734070 107066065101105 214132130202210