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21303121410 = 23252326713853
BaseRepresentation
bin10011110101110000…
…111101011000000010
32000222122120200202200
4103311300331120002
5322112044341120
613441515454030
71352624354454
oct236560753002
960878520680
1021303121410
11904206946a
124166457316
1320166665ac
1410613ba2d4
1584a375e90
hex4f5c3d602

21303121410 has 96 divisors (see below), whose sum is σ = 57832939008. Its totient is φ = 5430395520.

The previous prime is 21303121409. The next prime is 21303121417. The reversal of 21303121410 is 1412130312.

21303121410 is a `hidden beast` number, since 2 + 130 + 3 + 121 + 410 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21303121417) 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, 5527044 + ... + 5530896.

It is an arithmetic number, because the mean of its divisors is an integer number (602426448).

Almost surely, 221303121410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303121410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28916469504).

21303121410 is an abundant number, since it is smaller than the sum of its proper divisors (36529817598).

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

21303121410 is a wasteful number, since it uses less digits than its factorization.

21303121410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21303121410 its reverse (1412130312), we get a palindrome (22715251722).

The spelling of 21303121410 in words is "twenty-one billion, three hundred three million, one hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 2671 3853 5342 7706 8013 11559 13355 16026 19265 23118 24039 26710 34677 38530 40065 48078 57795 61433 69354 80130 88619 115590 120195 122866 173385 177238 184299 240390 265857 307165 346770 368598 443095 531714 552897 614330 797571 886190 921495 1105794 1329285 1595142 1842990 2658570 2764485 3987855 5528970 7975710 10291363 20582726 30874089 51456815 61748178 92622267 102913630 154370445 185244534 236701349 308740890 463111335 473402698 710104047 926222670 1183506745 1420208094 2130312141 2367013490 3550520235 4260624282 7101040470 10651560705 21303121410