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1012211031200 = 255219127524353
BaseRepresentation
bin11101011101011000111…
…10101001110010100000
310120202200201122002012212
432232230132221302200
5113041002010444300
62053000415141252
7133062350543045
oct16565436516240
93522621562185
101012211031200
11360304814416
1214420b514828
13745b307a6a5
1436dc40b91cc
151b4e37be935
hexebac7a9ca0

1012211031200 has 144 divisors (see below), whose sum is σ = 2621602206720. Its totient is φ = 380553707520.

The previous prime is 1012211031163. The next prime is 1012211031211. The reversal of 1012211031200 is 21301122101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668224 + ... + 2192576.

It is an arithmetic number, because the mean of its divisors is an integer number (18205570880).

Almost surely, 21012211031200 is an apocalyptic number.

1012211031200 is a gapful number since it is divisible by the number (10) 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 1012211031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310801103360).

1012211031200 is an abundant number, since it is smaller than the sum of its proper divisors (1609391175520).

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

1012211031200 is a wasteful number, since it uses less digits than its factorization.

1012211031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524519 (or 524506 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1012211031200 its reverse (21301122101), we get a palindrome (1033512153301).

Subtracting from 1012211031200 its reverse (21301122101), we obtain a palindrome (990909909099).

The spelling of 1012211031200 in words is "one trillion, twelve billion, two hundred eleven million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 127 152 160 190 200 254 304 380 400 475 508 608 635 760 800 950 1016 1270 1520 1900 2032 2413 2540 3040 3175 3800 4064 4826 5080 6350 7600 9652 10160 12065 12700 15200 19304 20320 24130 25400 38608 48260 50800 60325 77216 96520 101600 120650 193040 241300 386080 482600 524353 965200 1048706 1930400 2097412 2621765 4194824 5243530 8389648 9962707 10487060 13108825 16779296 19925414 20974120 26217650 39850828 41948240 49813535 52435300 66592831 79701656 83896480 99627070 104870600 133185662 159403312 199254140 209741200 249067675 266371324 318806624 332964155 398508280 419482400 498135350 532742648 665928310 797016560 996270700 1065485296 1265263789 1331856620 1594033120 1664820775 1992541400 2130970592 2530527578 2663713240 3329641550 3985082800 5061055156 5327426480 6326318945 6659283100 7970165600 10122110312 10654852960 12652637890 13318566200 20244220624 25305275780 26637132400 31631594725 40488441248 50610551560 53274264800 63263189450 101221103120 126526378900 202442206240 253052757800 506105515600 1012211031200