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21312113223200 = 2552231318841733
BaseRepresentation
bin1001101100010000111001…
…11100000010011000100000
32210110102021210222110021012
410312020130330002120200
510243134201441120300
6113154352154120052
74326515014264652
oct466103474023040
983412253873235
1021312113223200
116877464344098
12248251b720028
13bb7953b36167
145397244986d2
1526e59c444435
hex13621cf02620

21312113223200 has 144 divisors (see below), whose sum is σ = 54704727798336. Its totient is φ = 8091953126400.

The previous prime is 21312113223173. The next prime is 21312113223251. The reversal of 21312113223200 is 232231121312.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2010467 + ... + 6831266.

It is an arithmetic number, because the mean of its divisors is an integer number (379893943044).

Almost surely, 221312113223200 is an apocalyptic number.

21312113223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312113223200 is an abundant number, since it is smaller than the sum of its proper divisors (33392614575136).

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

21312113223200 is a wasteful number, since it uses less digits than its factorization.

21312113223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841907 (or 8841894 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21312113223200 its reverse (232231121312), we get a palindrome (21544344344512).

The spelling of 21312113223200 in words is "twenty-one trillion, three hundred twelve billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 131 160 184 200 230 262 368 400 460 524 575 655 736 800 920 1048 1150 1310 1840 2096 2300 2620 3013 3275 3680 4192 4600 5240 6026 6550 9200 10480 12052 13100 15065 18400 20960 24104 26200 30130 48208 52400 60260 75325 96416 104800 120520 150650 241040 301300 482080 602600 1205200 2410400 8841733 17683466 35366932 44208665 70733864 88417330 141467728 176834660 203359859 221043325 282935456 353669320 406719718 442086650 707338640 813439436 884173300 1016799295 1158267023 1414677280 1626878872 1768346600 2033598590 2316534046 3253757744 3536693200 4067197180 4633068092 5083996475 5791335115 6507515488 7073386400 8134394360 9266136184 10167992950 11582670230 16268788720 18532272368 20335985900 23165340460 26640141529 28956675575 32537577440 37064544736 40671971800 46330680920 53280283058 57913351150 81343943600 92661361840 106560566116 115826702300 133200707645 162687887200 185322723680 213121132232 231653404600 266401415290 426242264464 463306809200 532802830580 666003538225 852484528928 926613618400 1065605661160 1332007076450 2131211322320 2664014152900 4262422644640 5328028305800 10656056611600 21312113223200