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1003214421 = 32111719137229
BaseRepresentation
bin111011110010111…
…101011001010101
32120220201120110200
4323302331121111
54023310330141
6243314211113
733601116246
oct7362753125
92526646420
101003214421
11475319930
1223bb83a99
1312cac4301
1497346ccd
155d118ab6
hex3bcbd655

1003214421 has 96 divisors (see below), whose sum is σ = 1782518400. Its totient is φ = 535818240.

The previous prime is 1003214413. The next prime is 1003214441. The reversal of 1003214421 is 1244123001.

It is not a de Polignac number, because 1003214421 - 23 = 1003214413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003214394 and 1003214403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003214441) 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 95 ways as a sum of consecutive naturals, for example, 4380735 + ... + 4380963.

It is an arithmetic number, because the mean of its divisors is an integer number (18567900).

Almost surely, 21003214421 is an apocalyptic number.

1003214421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003214421 is a deficient number, since it is larger than the sum of its proper divisors (779303979).

1003214421 is a wasteful number, since it uses less digits than its factorization.

1003214421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1003214421 is about 31673.5602829868. The cubic root of 1003214421 is about 1001.0703276567.

Adding to 1003214421 its reverse (1244123001), we get a palindrome (2247337422).

The spelling of 1003214421 in words is "one billion, three million, two hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 9 11 17 19 33 51 57 99 137 153 171 187 209 229 323 411 561 627 687 969 1233 1507 1683 1881 2061 2329 2519 2603 2907 3553 3893 4351 4521 6987 7557 7809 10659 11679 13053 13563 20961 22671 23427 25619 28633 31373 31977 35037 39159 42823 44251 47861 73967 76857 85899 94119 128469 132753 143583 221901 230571 257697 282357 345103 385407 398259 430749 486761 533341 596087 665703 813637 1035309 1460283 1600023 1788261 2440911 3105927 4380849 4800069 5364783 5866751 6556957 7322733 10133479 17600253 19670871 30400437 52800759 59012613 91201311 111468269 334404807 1003214421