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1010222532225 = 32527361505177
BaseRepresentation
bin11101011001101011111…
…01001000011010000001
310120120120010220212102200
432230311331020122001
5113022413432012400
62052031222503413
7132662153561664
oct16546575103201
93516503825380
101010222532225
1135a484312735
12143955594b69
13743570cc18a
1436c75d756db
151b428e2eb00
hexeb35f48681

1010222532225 has 36 divisors (see below), whose sum is σ = 1834207418316. Its totient is φ = 531404720640.

The previous prime is 1010222532181. The next prime is 1010222532233. The reversal of 1010222532225 is 5222352220101.

1010222532225 is a `hidden beast` number, since 1 + 0 + 102 + 2 + 2 + 532 + 2 + 25 = 666.

1010222532225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 82414352241 + 927808179984 = 287079^2 + 963228^2 .

It is not a de Polignac number, because 1010222532225 - 237 = 872783578753 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30736164 + ... + 30769013.

Almost surely, 21010222532225 is an apocalyptic number.

1010222532225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010222532225 is a deficient number, since it is larger than the sum of its proper divisors (823984886091).

1010222532225 is a wasteful number, since it uses less digits than its factorization.

1010222532225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61505266 (or 61505258 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1010222532225 its reverse (5222352220101), we get a palindrome (6232574752326).

The spelling of 1010222532225 in words is "one trillion, ten billion, two hundred twenty-two million, five hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 219 225 365 657 1095 1825 3285 5475 16425 61505177 184515531 307525885 553546593 922577655 1537629425 2767732965 4489877921 4612888275 13469633763 13838664825 22449389605 40408901289 67348168815 112246948025 202044506445 336740844075 1010222532225