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21230213202 = 23211376147507
BaseRepresentation
bin10011110001011010…
…110101100001010010
32000210120101120111200
4103301122311201102
5321434413310302
613430353052030
71351050556212
oct236132654122
960716346450
1021230213202
1190049a1450
124145b57016
13200451a143
14105583c242
15843c7381c
hex4f16b5852

21230213202 has 96 divisors (see below), whose sum is σ = 52382700864. Its totient is φ = 6156777600.

The previous prime is 21230213201. The next prime is 21230213243. The reversal of 21230213202 is 20231203212.

21230213202 is a `hidden beast` number, since 21 + 230 + 213 + 202 = 666.

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 (21230213201) 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 47 ways as a sum of consecutive naturals, for example, 423133 + ... + 470639.

It is an arithmetic number, because the mean of its divisors is an integer number (545653134).

Almost surely, 221230213202 is an apocalyptic number.

21230213202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21230213202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191350432).

21230213202 is an abundant number, since it is smaller than the sum of its proper divisors (31152487662).

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

21230213202 is a wasteful number, since it uses less digits than its factorization.

21230213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47624 (or 47621 counting only the distinct ones).

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

Adding to 21230213202 its reverse (20231203212), we get a palindrome (41461416414).

It can be divided in two parts, 21230 and 213202, that added together give a palindrome (234432).

The spelling of 21230213202 in words is "twenty-one billion, two hundred thirty million, two hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 61 66 74 99 111 122 183 198 222 333 366 407 549 666 671 814 1098 1221 1342 2013 2257 2442 3663 4026 4514 6039 6771 7326 12078 13542 20313 24827 40626 47507 49654 74481 95014 142521 148962 223443 285042 427563 446886 522577 855126 1045154 1567731 1757759 2897927 3135462 3515518 4703193 5273277 5795854 8693781 9406386 10546554 15819831 17387562 19335349 26081343 31639662 31877197 38670698 52162686 58006047 63754394 95631591 107223299 116012094 174018141 191263182 214446598 286894773 321669897 348036282 573789546 643339794 965009691 1179456289 1930019382 2358912578 3538368867 7076737734 10615106601 21230213202