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21303010420 = 2251741237273
BaseRepresentation
bin10011110101110000…
…100010010001110100
32000222122101001111221
4103311300202101310
5322112032313140
613441513240124
71352623413046
oct236560422164
960878331457
1021303010420
119041aa303a
124166403044
132016627c13
14106138ba96
1584a35314a
hex4f5c22474

21303010420 has 72 divisors (see below), whose sum is σ = 48552665112. Its totient is φ = 7824138240.

The previous prime is 21303010411. The next prime is 21303010457. The reversal of 21303010420 is 2401030312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9655420644 + 11647589776 = 98262^2 + 107924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21303010394 and 21303010403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552904 + ... + 590176.

It is an arithmetic number, because the mean of its divisors is an integer number (674342571).

Almost surely, 221303010420 is an apocalyptic number.

21303010420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276332556).

21303010420 is an abundant number, since it is smaller than the sum of its proper divisors (27249654692).

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

21303010420 is a wasteful number, since it uses less digits than its factorization.

21303010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37381 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21303010420 its reverse (2401030312), we get a palindrome (23704040732).

The spelling of 21303010420 in words is "twenty-one billion, three hundred three million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1681 2788 3362 3485 6724 6970 8405 13940 16810 28577 33620 37273 57154 74546 114308 142885 149092 186365 285770 372730 571540 633641 745460 1267282 1528193 2534564 3056386 3168205 6112772 6336410 7640965 12672820 15281930 25979281 30563860 51958562 62655913 103917124 125311826 129896405 250623652 259792810 313279565 519585620 626559130 1065150521 1253118260 2130301042 4260602084 5325752605 10651505210 21303010420