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21212301323400 = 23352112292180459
BaseRepresentation
bin1001101001010110111111…
…01011110110110010001000
32210002212122202021120222120
410310223133223312302020
510240020243114322100
6113040444030451240
74316352413162355
oct464533753666210
983085582246876
1021212301323400
1168390a5103500
122467104963b20
13bab4082a5515
145349763dd62c
1526bba99b30a0
hex134adfaf6c88

21212301323400 has 144 divisors (see below), whose sum is σ = 72279602194800. Its totient is φ = 5142376060800.

The previous prime is 21212301323371. The next prime is 21212301323417. The reversal of 21212301323400 is 432310321212.

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 35 ways as a sum of consecutive naturals, for example, 146017630 + ... + 146162829.

Almost surely, 221212301323400 is an apocalyptic number.

21212301323400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212301323400 is an abundant number, since it is smaller than the sum of its proper divisors (51067300871400).

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

21212301323400 is a wasteful number, since it uses less digits than its factorization.

21212301323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292180500 (or 292180480 counting only the distinct ones).

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

Adding to 21212301323400 its reverse (432310321212), we get a palindrome (21644611644612).

The spelling of 21212301323400 in words is "twenty-one trillion, two hundred twelve billion, three hundred one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 292180459 584360918 876541377 1168721836 1460902295 1753082754 2337443672 2921804590 3213985049 3506165508 4382706885 5843609180 6427970098 7012331016 7304511475 8765413770 9641955147 11687218360 12855940196 14609022950 16069925245 17530827540 19283910294 21913534425 25711880392 29218045900 32139850490 35061655080 35353835539 38567820588 43827068850 48209775735 58436091800 64279700980 70707671078 77135641176 80349626225 87654137700 96419551470 106061506617 128559401960 141415342156 160699252450 175308275400 176769177695 192839102940 212123013234 241048878675 282830684312 321398504900 353538355390 385678205880 424246026468 482097757350 530307533085 642797009800 707076710780 848492052936 883845888475 964195514700 1060615066170 1414153421560 1767691776950 1928391029400 2121230132340 2651537665425 3535383553900 4242460264680 5303075330850 7070767107800 10606150661700 21212301323400