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21333421104 = 2432341503937
BaseRepresentation
bin10011110111100100…
…100010110000110000
32001001202121002010120
4103313210202300300
5322142323433404
613444521130240
71353443041662
oct236744426060
961052532116
1021333421104
119058184036
124174629980
13201ca14ac8
141065426532
1584cd5d9d9
hex4f7922c30

21333421104 has 160 divisors (see below), whose sum is σ = 59090217984. Its totient is φ = 6615797760.

The previous prime is 21333421093. The next prime is 21333421111. The reversal of 21333421104 is 40112433312.

It is a happy number.

It is a super-2 number, since 2×213334211042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22767324 + ... + 22768260.

Almost surely, 221333421104 is an apocalyptic number.

21333421104 is a gapful number since it is divisible by the number (24) 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 21333421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29545108992).

21333421104 is an abundant number, since it is smaller than the sum of its proper divisors (37756796880).

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

21333421104 is a wasteful number, since it uses less digits than its factorization.

21333421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21333421104 its reverse (40112433312), we get a palindrome (61445854416).

The spelling of 21333421104 in words is "twenty-one billion, three hundred thirty-three million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 503 552 656 937 943 984 1006 1104 1509 1874 1886 1968 2012 2811 2829 3018 3748 3772 4024 5622 5658 6036 7496 7544 8048 11244 11316 11569 12072 14992 15088 20623 21551 22488 22632 23138 24144 34707 38417 41246 43102 44976 45264 46276 61869 64653 69414 76834 82492 86204 92552 115251 123738 129306 138828 153668 164984 172408 185104 230502 247476 258612 277656 307336 329968 344816 461004 471311 474329 494952 517224 555312 614672 883591 922008 942622 948658 989904 1034448 1413933 1422987 1767182 1844016 1885244 1897316 2650773 2827866 2845974 3534364 3770488 3794632 5301546 5655732 5691948 7068728 7540976 7589264 10603092 10840153 11311464 11383896 14137456 19323751 21206184 21680306 22622928 22767792 32520459 38647502 42412368 43360612 57971253 65040918 77295004 86721224 115942506 130081836 154590008 173442448 231885012 260163672 309180016 444446273 463770024 520327344 888892546 927540048 1333338819 1777785092 2666677638 3555570184 5333355276 7111140368 10666710552 21333421104