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10012101112200 = 23352111516985017
BaseRepresentation
bin1001000110110001111110…
…1110101111000110001000
31022110010222112121110001010
42101230133232233012020
52303014240341042300
633143255025523520
72052231125164635
oct221543756570610
938403875543033
1010012101112200
1132101210767a0
1211584b44a35a0
135781a2232b45
1426883434b18c
151256874d7a50
hex91b1fbaf188

10012101112200 has 96 divisors (see below), whose sum is σ = 33859105601760. Its totient is φ = 2427176025600.

The previous prime is 10012101112177. The next prime is 10012101112217. The reversal of 10012101112200 is 221110121001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758485909 + ... + 758499108.

It is an arithmetic number, because the mean of its divisors is an integer number (352699016685).

Almost surely, 210012101112200 is an apocalyptic number.

10012101112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012101112200 is an abundant number, since it is smaller than the sum of its proper divisors (23847004489560).

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

10012101112200 is a wasteful number, since it uses less digits than its factorization.

10012101112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516985047 (or 1516985038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012101112200 its reverse (221110121001), we get a palindrome (10233211233201).

The spelling of 10012101112200 in words is "ten trillion, twelve billion, one hundred one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 1516985017 3033970034 4550955051 6067940068 7584925085 9101910102 12135880136 15169850170 16686835187 18203820204 22754775255 30339700340 33373670374 36407640408 37924625425 45509550510 50060505561 60679400680 66747340748 75849250850 83434175935 91019101020 100121011122 113773876275 133494681496 151698501700 166868351870 182038202040 200242022244 227547752550 250302527805 303397003400 333736703740 400484044488 417170879675 455095505100 500605055610 667473407480 834341759350 910191010200 1001210111220 1251512639025 1668683518700 2002420222440 2503025278050 3337367037400 5006050556100 10012101112200