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1021120101 = 3453237857
BaseRepresentation
bin111100110111010…
…000111001100101
32122011102021110000
4330313100321211
54042401320401
6245154051513
734206243351
oct7467207145
92564367400
101021120101
11484439711
12245b79b99
131337233a1
1499888461
155e9a4186
hex3cdd0e65

1021120101 has 20 divisors (see below), whose sum is σ = 1554164172. Its totient is φ = 667899648.

The previous prime is 1021120099. The next prime is 1021120103. The reversal of 1021120101 is 1010211201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021120099) and next prime (1021120103).

It can be written as a sum of positive squares in 2 ways, for example, as 500595876 + 520524225 = 22374^2 + 22815^2 .

It is not a de Polignac number, because 1021120101 - 21 = 1021120099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021120103) 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 19 ways as a sum of consecutive naturals, for example, 114636 + ... + 123221.

Almost surely, 21021120101 is an apocalyptic number.

It is an amenable number.

1021120101 is a deficient number, since it is larger than the sum of its proper divisors (533044071).

1021120101 is an equidigital number, since it uses as much as digits as its factorization.

1021120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237922 (or 237913 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1021120101 is about 31954.9698951509. The cubic root of 1021120101 is about 1006.9910450605.

Adding to 1021120101 its reverse (1010211201), we get a palindrome (2031331302).

The spelling of 1021120101 in words is "one billion, twenty-one million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 237857 713571 2140713 6422139 12606421 19266417 37819263 113457789 340373367 1021120101