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1012011222200 = 2352111171392831
BaseRepresentation
bin11101011101000001001…
…00011100010010111000
310120202011210122201210112
432232200210130102320
5113040044333102300
62052524520403452
7133054403312366
oct16564044342270
93522153581715
101012011222200
11360211a51a10
12144174616588
137458085c304
1436da5746636
151b4d0ea1e35
hexeba091c4b8

1012011222200 has 96 divisors (see below), whose sum is σ = 2569027000320. Its totient is φ = 367688880000.

The previous prime is 1012011222197. The next prime is 1012011222281. The reversal of 1012011222200 is 22221102101.

It is a congruent number.

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, 2379785 + ... + 2772615.

It is an arithmetic number, because the mean of its divisors is an integer number (26760697920).

Almost surely, 21012011222200 is an apocalyptic number.

1012011222200 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 1012011222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284513500160).

1012011222200 is an abundant number, since it is smaller than the sum of its proper divisors (1557015778120).

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

1012011222200 is a wasteful number, since it uses less digits than its factorization.

1012011222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394029 (or 394020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012011222200 its reverse (22221102101), we get a palindrome (1034232324301).

The spelling of 1012011222200 in words is "one trillion, twelve billion, eleven million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1171 2200 2342 4684 5855 9368 11710 12881 23420 25762 29275 46840 51524 58550 64405 103048 117100 128810 234200 257620 322025 392831 515240 644050 785662 1288100 1571324 1964155 2576200 3142648 3928310 4321141 7856620 8642282 9820775 15713240 17284564 19641550 21605705 34569128 39283100 43211410 78566200 86422820 108028525 172845640 216057050 432114100 460005101 864228200 920010202 1840020404 2300025505 3680040808 4600051010 5060056111 9200102020 10120112222 11500127525 18400204040 20240224444 23000255050 25300280555 40480448888 46000510100 50600561110 92001020200 101201122220 126501402775 202402244440 253002805550 506005611100 1012011222200