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21202321104 = 2433236413329
BaseRepresentation
bin10011101111110000…
…011011111011010000
32000201121220111202000
4103233300123323100
5321410243233404
613423515154000
71350261520146
oct235760337320
960647814660
1021202321104
118aa0180728
124138745900
131ccb802743
141051c5b596
158415b4339
hex4efc1bed0

21202321104 has 160 divisors (see below), whose sum is σ = 63622713600. Its totient is φ = 6747586560.

The previous prime is 21202321099. The next prime is 21202321123. The reversal of 21202321104 is 40112320212.

It is a happy number.

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

It is a congruent number.

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, 6367312 + ... + 6370640.

It is an arithmetic number, because the mean of its divisors is an integer number (397641960).

Almost surely, 221202321104 is an apocalyptic number.

21202321104 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 21202321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31811356800).

21202321104 is an abundant number, since it is smaller than the sum of its proper divisors (42420392496).

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

21202321104 is a wasteful number, since it uses less digits than its factorization.

21202321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21202321104 its reverse (40112320212), we get a palindrome (61314641316).

The spelling of 21202321104 in words is "twenty-one billion, two hundred two million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 641 828 1104 1242 1282 1656 1923 2484 2564 3312 3329 3846 4968 5128 5769 6658 7692 9936 9987 10256 11538 13316 14743 15384 17307 19974 23076 26632 29486 29961 30768 34614 39948 44229 46152 53264 58972 59922 69228 76567 79896 88458 89883 92304 117944 119844 132687 138456 153134 159792 176916 179766 229701 235888 239688 265374 276912 306268 353832 359532 398061 459402 479376 530748 612536 689103 707664 719064 796122 918804 1061496 1225072 1378206 1438128 1592244 1837608 2067309 2122992 2133889 2756412 3184488 3675216 4134618 4267778 5512824 6368976 6401667 8269236 8535556 11025648 12803334 16538472 17071112 19205001 25606668 33076944 34142224 38410002 49079447 51213336 57615003 76820004 98158894 102426672 115230006 147238341 153640008 196317788 230460012 294476682 307280016 392635576 441715023 460920024 588953364 785271152 883430046 921840048 1177906728 1325145069 1766860092 2355813456 2650290138 3533720184 5300580276 7067440368 10601160552 21202321104