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21332113201200 = 2435277641228961
BaseRepresentation
bin1001101100110110001010…
…00001111001100000110000
32210112022220122110121100010
410312123011001321200300
510244001131434414300
6113211500523054520
74331123436300504
oct466330501714060
983468818417303
1021332113201200
11688499785862a
122486381671440
13bb97c0503a79
1453a6a0776304
1526ed6d1a8a50
hex1366c5079830

21332113201200 has 120 divisors (see below), whose sum is σ = 68335047869776. Its totient is φ = 5688465408000.

The previous prime is 21332113201187. The next prime is 21332113201237. The reversal of 21332113201200 is 210231123312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×213321132012002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93054720 + ... + 93283680.

Almost surely, 221332113201200 is an apocalyptic number.

21332113201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332113201200 is an abundant number, since it is smaller than the sum of its proper divisors (47002934668576).

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

21332113201200 is a wasteful number, since it uses less digits than its factorization.

21332113201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306623 (or 306612 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21332113201200 its reverse (210231123312), we get a palindrome (21542344324512).

The spelling of 21332113201200 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 77641 155282 228961 232923 310564 388205 457922 465846 621128 686883 776410 915844 931692 1144805 1164615 1242256 1373766 1552820 1831688 1863384 1941025 2289610 2329230 2747532 3105640 3434415 3663376 3726768 3882050 4579220 4658460 5495064 5724025 5823075 6211280 6868830 7764100 9158440 9316920 10990128 11448050 11646150 13737660 15528200 17172075 18316880 18633840 22896100 23292300 27475320 31056400 34344150 45792200 46584600 54950640 68688300 91584400 93169200 137376600 274753200 17776761001 35553522002 53330283003 71107044004 88883805005 106660566006 142214088008 177767610010 213321132012 266651415015 284428176016 355535220020 426642264024 444419025025 533302830030 711070440040 853284528048 888838050050 1066605660060 1333257075075 1422140880080 1777676100100 2133211320120 2666514150150 3555352200200 4266422640240 5333028300300 7110704400400 10666056600600 21332113201200