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200212310000 = 2454191053749
BaseRepresentation
bin1011101001110110010…
…1010110011111110000
3201010210010210011001202
42322131211112133300
511240013322410000
6231550512350332
720315306361413
oct2723545263760
9633703704052
10200212310000
1177a006a190a
12329768453a8
1315b592c65b1
149994389b7a
15531be10dd5
hex2e9d9567f0

200212310000 has 100 divisors (see below), whose sum is σ = 510246825000. Its totient is φ = 75869856000.

The previous prime is 200212309991. The next prime is 200212310017. The reversal of 200212310000 is 13212002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2002123100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 336875 + ... + 716874.

It is an arithmetic number, because the mean of its divisors is an integer number (5102468250).

Almost surely, 2200212310000 is an apocalyptic number.

200212310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212310000 is an abundant number, since it is smaller than the sum of its proper divisors (310034515000).

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

200212310000 is a wasteful number, since it uses less digits than its factorization.

200212310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053796 (or 1053775 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 200212310000 its reverse (13212002), we get a palindrome (200225522002).

The spelling of 200212310000 in words is "two hundred billion, two hundred twelve million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 7600 9500 10000 11875 19000 23750 38000 47500 95000 190000 1053749 2107498 4214996 5268745 8429992 10537490 16859984 20021231 21074980 26343725 40042462 42149960 52687450 80084924 84299920 100106155 105374900 131718625 160169848 200212310 210749800 263437250 320339696 400424620 421499600 500530775 526874500 658593125 800849240 1001061550 1053749000 1317186250 1601698480 2002123100 2107498000 2502653875 2634372500 4004246200 5005307750 5268745000 8008492400 10010615500 10537490000 12513269375 20021231000 25026538750 40042462000 50053077500 100106155000 200212310000