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1010012221220 = 225411231722221
BaseRepresentation
bin11101011001010010110…
…10110110111100100100
310120120000111011221222012
432230221122312330210
5113022001112034340
62051554311053352
7132654021141242
oct16545132667444
93516014157865
101010012221220
1135a386627992
121438b7071258
13743226748b2
1436c5606b792
151b41573a565
hexeb296b6f24

1010012221220 has 24 divisors (see below), whose sum is σ = 2172757999608. Its totient is φ = 394151110400.

The previous prime is 1010012221219. The next prime is 1010012221271. The reversal of 1010012221220 is 221222100101.

It can be written as a sum of positive squares in 4 ways, for example, as 2875533376 + 1007136687844 = 53624^2 + 1003562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010012221195 and 1010012221204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615860291 + ... + 615861930.

It is an arithmetic number, because the mean of its divisors is an integer number (90531583317).

Almost surely, 21010012221220 is an apocalyptic number.

1010012221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010012221220 is an abundant number, since it is smaller than the sum of its proper divisors (1162745778388).

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

1010012221220 is a wasteful number, since it uses less digits than its factorization.

1010012221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231722271 (or 1231722269 counting only the distinct ones).

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

Adding to 1010012221220 its reverse (221222100101), we get a palindrome (1231234321321).

The spelling of 1010012221220 in words is "one trillion, ten billion, twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1231722221 2463444442 4926888884 6158611105 12317222210 24634444420 50500611061 101001222122 202002444244 252503055305 505006110610 1010012221220