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212320211322000 = 2435361580109867
BaseRepresentation
bin110000010001101010100110…
…110001100100010010010000
31000211202121120120210201122110
4300101222212301210102100
5210312123243044301000
62031322320351305320
762502425523550545
oct6021524661442220
91024677516721573
10212320211322000
1161719550129851
121b9910b521b240
13916192cba47a2
143a604d2b18bcc
151982e08c2d850
hexc11aa6c64490

212320211322000 has 160 divisors (see below), whose sum is σ = 695742007768704. Its totient is φ = 55690547136000.

The previous prime is 212320211321927. The next prime is 212320211322017. The reversal of 212320211322000 is 223112023212.

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, 289688934 + ... + 290420933.

Almost surely, 2212320211322000 is an apocalyptic number.

212320211322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320211322000 is an abundant number, since it is smaller than the sum of its proper divisors (483421796446704).

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

212320211322000 is a wasteful number, since it uses less digits than its factorization.

212320211322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580109954 (or 580109938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212320211322000 its reverse (223112023212), we get a palindrome (212543323345212).

The spelling of 212320211322000 in words is "two hundred twelve trillion, three hundred twenty billion, two hundred eleven million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 125 150 183 200 240 244 250 300 305 366 375 400 488 500 600 610 732 750 915 976 1000 1200 1220 1464 1500 1525 1830 2000 2440 2928 3000 3050 3660 4575 4880 6000 6100 7320 7625 9150 12200 14640 15250 18300 22875 24400 30500 36600 45750 61000 73200 91500 122000 183000 366000 580109867 1160219734 1740329601 2320439468 2900549335 3480659202 4640878936 5801098670 6961318404 8701648005 9281757872 11602197340 13922636808 14502746675 17403296010 23204394680 27845273616 29005493350 34806592020 35386701887 43508240025 46408789360 58010986700 69613184040 70773403774 72513733375 87016480050 106160105661 116021973400 139226368080 141546807548 145027466750 174032960100 176933509435 212320211322 217541200125 232043946800 283093615096 290054933500 348065920200 353867018870 424640422644 435082400250 530800528305 566187230192 580109867000 696131840400 707734037740 849280845288 870164800500 884667547175 1061601056610 1160219734000 1415468075480 1698561690576 1740329601000 1769335094350 2123202113220 2654002641525 2830936150960 3480659202000 3538670188700 4246404226440 4423337735875 5308005283050 7077340377400 8492808452880 8846675471750 10616010566100 13270013207625 14154680754800 17693350943500 21232021132200 26540026415250 35386701887000 42464042264400 53080052830500 70773403774000 106160105661000 212320211322000