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1220000141 = 4140497349
BaseRepresentation
bin100100010110111…
…1011100110001101
310011000122102120102
41020231323212031
54444310001031
6321020500445
742142554503
oct11055734615
93130572512
101220000141
11576727188
122a06aa725
131659a7999
14b8058673
157218b7cb
hex48b7b98d

1220000141 has 8 divisors (see below), whose sum is σ = 1250235000. Its totient is φ = 1189788160.

The previous prime is 1220000129. The next prime is 1220000153. The reversal of 1220000141 is 1410000221.

It is an interprime number because it is at equal distance from previous prime (1220000129) and next prime (1220000153).

It can be written as a sum of positive squares in 4 ways, for example, as 6522916 + 1213477225 = 2554^2 + 34835^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1220000141 - 26 = 1220000077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162335 + ... + 169683.

It is an arithmetic number, because the mean of its divisors is an integer number (156279375).

Almost surely, 21220000141 is an apocalyptic number.

It is an amenable number.

1220000141 is a deficient number, since it is larger than the sum of its proper divisors (30234859).

1220000141 is an equidigital number, since it uses as much as digits as its factorization.

1220000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1220000141 is about 34928.5004115550. The cubic root of 1220000141 is about 1068.5297713135.

Adding to 1220000141 its reverse (1410000221), we get a palindrome (2630000362).

The spelling of 1220000141 in words is "one billion, two hundred twenty million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 41 4049 7349 166009 301309 29756101 1220000141