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1010120221 = 11211373877
BaseRepresentation
bin111100001101010…
…011011000011101
32121101201102110001
4330031103120131
54032042321341
6244122214301
734013610625
oct7415233035
92541642401
101010120221
11479206300
12242354391
13131371696
1498223885
155da2ed31
hex3c35361d

1010120221 has 12 divisors (see below), whose sum is σ = 1120138236. Its totient is φ = 910152320.

The previous prime is 1010120159. The next prime is 1010120231. The reversal of 1010120221 is 1220210101.

It can be written as a sum of positive squares in 2 ways, for example, as 68244121 + 941876100 = 8261^2 + 30690^2 .

It is not a de Polignac number, because 1010120221 - 225 = 976565789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010120198 and 1010120207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010120231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23266 + ... + 50611.

It is an arithmetic number, because the mean of its divisors is an integer number (93344853).

Almost surely, 21010120221 is an apocalyptic number.

1010120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010120221 is a deficient number, since it is larger than the sum of its proper divisors (110018015).

1010120221 is a wasteful number, since it uses less digits than its factorization.

1010120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74012 (or 74001 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010120221 is about 31782.3885351620. The cubic root of 1010120221 is about 1003.3620906783.

Adding to 1010120221 its reverse (1220210101), we get a palindrome (2230330322).

The spelling of 1010120221 in words is "one billion, ten million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 113 121 1243 13673 73877 812647 8348101 8939117 91829111 1010120221