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21332212011120 = 2435563725321767
BaseRepresentation
bin1001101100110110010101…
…11010110101000001110000
32210112100011112101200001210
410312123022322311001300
510244001332233323440
6113211514413000120
74331126046205203
oct466331272650160
983470145350053
1021332212011120
116884a38606a1a
1224863aa783040
13bb9807b1b98a
1453a6ad93793a
1526ed76bc5a80
hex1366caeb5070

21332212011120 has 160 divisors (see below), whose sum is σ = 66259494692352. Its totient is φ = 5677442046976.

The previous prime is 21332212011119. The next prime is 21332212011151. The reversal of 21332212011120 is 2111021223312.

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, 980014477 + ... + 980036243.

Almost surely, 221332212011120 is an apocalyptic number.

21332212011120 is a gapful number since it is divisible by the number (20) 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 21332212011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129747346176).

21332212011120 is an abundant number, since it is smaller than the sum of its proper divisors (44927282681232).

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

21332212011120 is a wasteful number, since it uses less digits than its factorization.

21332212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29599 (or 29593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21332212011120 its reverse (2111021223312), we get a palindrome (23443233234432).

The spelling of 21332212011120 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 563 1126 1689 2252 2815 3378 4504 5630 6756 7253 8445 9008 11260 13512 14506 16890 21759 21767 22520 27024 29012 33780 36265 43518 43534 45040 58024 65301 67560 72530 87036 87068 108795 108835 116048 130602 135120 145060 174072 174136 217590 217670 261204 290120 326505 348144 348272 435180 435340 522408 580240 653010 870360 870680 1044816 1306020 1740720 1741360 2612040 4083439 5224080 8166878 12250317 12254821 16333756 20417195 24500634 24509642 32667512 36764463 40834390 49001268 49019284 61251585 61274105 65335024 73528926 81668780 98002536 98038568 122503170 122548210 147057852 157876051 163337560 183822315 196005072 196077136 245006340 245096420 294115704 315752102 326675120 367644630 473628153 490012680 490192840 588231408 631504204 735289260 789380255 947256306 980025360 980385680 1263008408 1470578520 1578760510 1894512612 2368140765 2526016816 2941157040 3157521020 3789025224 4736281530 6315042040 7578050448 9472563060 12630084080 18945126120 37890252240 88884216713 177768433426 266652650139 355536866852 444421083565 533305300278 711073733704 888842167130 1066610600556 1333263250695 1422147467408 1777684334260 2133221201112 2666526501390 3555368668520 4266442402224 5333053002780 7110737337040 10666106005560 21332212011120