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21213425310 = 23571140122901
BaseRepresentation
bin10011110000011010…
…110010111010011110
32000202101210122211220
4103300122302322132
5321421114102220
613424553154210
71350455066010
oct236032627236
960671718756
1021213425310
118aa6475460
1241403bb966
132000bbca8c
14105350c1b0
15842559540
hex4f06b2e9e

21213425310 has 128 divisors (see below), whose sum is σ = 63636046848. Its totient is φ = 4396800000.

The previous prime is 21213425281. The next prime is 21213425341. The reversal of 21213425310 is 1352431212.

It is a super-2 number, since 2×212134253102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914860 + ... + 937760.

It is an arithmetic number, because the mean of its divisors is an integer number (497156616).

Almost surely, 221213425310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213425310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31818023424).

21213425310 is an abundant number, since it is smaller than the sum of its proper divisors (42422621538).

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

21213425310 is a wasteful number, since it uses less digits than its factorization.

21213425310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23330.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21213425310 its reverse (1352431212), we get a palindrome (22565856522).

The spelling of 21213425310 in words is "twenty-one billion, two hundred thirteen million, four hundred twenty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 401 462 770 802 1155 1203 2005 2310 2406 2807 4010 4411 5614 6015 8421 8822 12030 13233 14035 16842 22055 22901 26466 28070 30877 42105 44110 45802 61754 66165 68703 84210 92631 114505 132330 137406 154385 160307 185262 229010 251911 308770 320614 343515 463155 480921 503822 687030 755733 801535 926310 961842 1259555 1511466 1603070 1763377 2404605 2519110 3526754 3778665 4809210 5290131 7557330 8816885 9183301 10580262 17633770 18366602 26450655 27549903 45916505 52901310 55099806 64283107 91833010 101016311 128566214 137749515 192849321 202032622 275499030 303048933 321415535 385698642 505081555 606097866 642831070 707114177 964246605 1010163110 1414228354 1515244665 1928493210 2121342531 3030489330 3535570885 4242685062 7071141770 10606712655 21213425310