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1011000221 = 711472571087
BaseRepresentation
bin111100010000101…
…010001110011101
32121110101010120122
4330100222032131
54032304001341
6244153124325
734024234340
oct7420521635
92543333518
101011000221
11479757480
122426b96a5
131315bc0aa
14983b2457
155db5594b
hex3c42a39d

1011000221 has 32 divisors (see below), whose sum is σ = 1293484032. Its totient is φ = 767324160.

The previous prime is 1011000187. The next prime is 1011000227. The reversal of 1011000221 is 1220001101.

1011000221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011000221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011000199 and 1011000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929540 + ... + 930626.

It is an arithmetic number, because the mean of its divisors is an integer number (40421376).

Almost surely, 21011000221 is an apocalyptic number.

1011000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011000221 is a deficient number, since it is larger than the sum of its proper divisors (282483811).

1011000221 is a wasteful number, since it uses less digits than its factorization.

1011000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1011000221 is about 31796.2296664243. The cubic root of 1011000221 is about 1003.6533769164.

Adding to 1011000221 its reverse (1220001101), we get a palindrome (2231001322).

The spelling of 1011000221 in words is "one billion, eleven million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 11 47 77 257 329 517 1087 1799 2827 3619 7609 11957 12079 19789 51089 83699 84553 132869 279359 357623 561979 930083 1955513 3072949 3933853 13129873 21510643 91909111 144428603 1011000221