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1024420221 = 3211173716451
BaseRepresentation
bin111101000011110…
…110100101111101
32122101121221100200
4331003312211331
54044222421341
6245352514113
734246266606
oct7503664575
92571557320
101024420221
11486293090
122470ab939
1313430a516
149a0a6dad
155ee06db6
hex3d0f697d

1024420221 has 48 divisors (see below), whose sum is σ = 1755494208. Its totient is φ = 568512000.

The previous prime is 1024420217. The next prime is 1024420303. The reversal of 1024420221 is 1220244201.

1024420221 is a `hidden beast` number, since 1 + 0 + 2 + 442 + 0 + 221 = 666.

It is not a de Polignac number, because 1024420221 - 22 = 1024420217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1024420194 and 1024420203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024420211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54046 + ... + 70496.

It is an arithmetic number, because the mean of its divisors is an integer number (36572796).

Almost surely, 21024420221 is an apocalyptic number.

1024420221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1024420221 is a deficient number, since it is larger than the sum of its proper divisors (731073987).

1024420221 is a wasteful number, since it uses less digits than its factorization.

1024420221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16522 (or 16519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1024420221 is about 32006.5652796422. The cubic root of 1024420221 is about 1008.0746974359.

Adding to 1024420221 its reverse (1220244201), we get a palindrome (2244664422).

The spelling of 1024420221 in words is "one billion, twenty-four million, four hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 16451 20757 49353 62271 148059 180961 279667 542883 608687 839001 1628649 1826061 2517003 3076337 5478183 6695557 9229011 10347679 20086671 27687033 31043037 60260013 93129111 113824469 341473407 1024420221