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1012222220200 = 235224121000461
BaseRepresentation
bin11101011101011010010…
…01010101011110101000
310120202201111200112122021
432232231021111132220
5113041012342021300
62053001455034224
7133062544624042
oct16565511253650
93522644615567
101012222220200
11360310066924
1214421320b974
13745b54974b9
1436dc578ca92
151b4e477ed1a
hexebad2557a8

1012222220200 has 48 divisors (see below), whose sum is σ = 2363181988860. Its totient is φ = 403208832000.

The previous prime is 1012222220147. The next prime is 1012222220213. The reversal of 1012222220200 is 20222222101.

It can be written as a sum of positive squares in 6 ways, for example, as 428241977604 + 583980242596 = 654402^2 + 764186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10452031 + ... + 10548430.

Almost surely, 21012222220200 is an apocalyptic number.

1012222220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012222220200 is an abundant number, since it is smaller than the sum of its proper divisors (1350959768660).

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

1012222220200 is a wasteful number, since it uses less digits than its factorization.

1012222220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21000718 (or 21000709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1012222220200 its reverse (20222222101), we get a palindrome (1032444442301).

The spelling of 1012222220200 in words is "one trillion, twelve billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 6025 9640 12050 24100 48200 21000461 42000922 84001844 105002305 168003688 210004610 420009220 525011525 840018440 1050023050 2100046100 4200092200 5061111101 10122222202 20244444404 25305555505 40488888808 50611111010 101222222020 126527777525 202444444040 253055555050 506111110100 1012222220200