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21203230212 = 223217371039091
BaseRepresentation
bin10011101111110011…
…111001111000000100
32000201200121200210200
4103233303321320010
5321411011331322
613423550450500
71350302324463
oct235763717004
960650550720
1021203230212
118aa074175a
124138b03a30
131ccba60488
1410520169da
158416e38ac
hex4efcf9e04

21203230212 has 144 divisors (see below), whose sum is σ = 58855934592. Its totient is φ = 6408668160.

The previous prime is 21203230187. The next prime is 21203230219.

21203230212 is a `hidden beast` number, since 21 + 203 + 230 + 212 = 666.

21203230212 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (21203230219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2327787 + ... + 2336877.

It is an arithmetic number, because the mean of its divisors is an integer number (408721768).

Almost surely, 221203230212 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 21203230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29427967296).

21203230212 is an abundant number, since it is smaller than the sum of its proper divisors (37652704380).

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

21203230212 is a wasteful number, since it uses less digits than its factorization.

21203230212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9253 counting only the distinct ones).

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

The spelling of 21203230212 in words is "twenty-one billion, two hundred three million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 103 111 148 153 204 206 222 306 309 333 412 444 612 618 629 666 927 1236 1258 1332 1751 1854 1887 2516 3502 3708 3774 3811 5253 5661 7004 7548 7622 9091 10506 11322 11433 15244 15759 18182 21012 22644 22866 27273 31518 34299 36364 45732 54546 63036 64787 68598 81819 109092 129574 137196 154547 163638 194361 259148 309094 327276 336367 388722 463641 583083 618188 672734 777444 927282 936373 1009101 1166166 1345468 1390923 1854564 1872746 2018202 2332332 2781846 2809119 3027303 3745492 4036404 5563692 5618238 5718239 6054606 8427357 11236476 11436478 12109212 15918341 16854714 17154717 22872956 31836682 33709428 34309434 34645801 47755023 51464151 63673364 68618868 69291602 95510046 102928302 103937403 138583204 143265069 191020092 205856604 207874806 286530138 311812209 415749612 573060276 588978617 623624418 1177957234 1247248836 1766935851 2355914468 3533871702 5300807553 7067743404 10601615106 21203230212