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1003102221 = 311217533067
BaseRepresentation
bin111011110010100…
…010000000001101
32120220111212120010
4323302202000031
54023243232341
6243311543433
733600141162
oct7362420015
92526455503
101003102221
11475252600
1223bb2ab79
1312ca85214
1497318069
155d0e5716
hex3bca200d

1003102221 has 48 divisors (see below), whose sum is σ = 1586475072. Its totient is φ = 561200640.

The previous prime is 1003102213. The next prime is 1003102277. The reversal of 1003102221 is 1222013001.

It is not a de Polignac number, because 1003102221 - 23 = 1003102213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003102197 and 1003102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325530 + ... + 328596.

It is an arithmetic number, because the mean of its divisors is an integer number (33051564).

Almost surely, 21003102221 is an apocalyptic number.

1003102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003102221 is a deficient number, since it is larger than the sum of its proper divisors (583372851).

1003102221 is a wasteful number, since it uses less digits than its factorization.

1003102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1003102221 is about 31671.7890400906. The cubic root of 1003102221 is about 1001.0330061974.

Adding to 1003102221 its reverse (1222013001), we get a palindrome (2225115222).

The spelling of 1003102221 in words is "one billion, three million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 53 121 159 187 363 561 583 901 1749 2057 2703 3067 6171 6413 9201 9911 19239 29733 33737 52139 101211 109021 156417 162551 327063 371107 487653 573529 1113321 1720587 1788061 2763367 5364183 6308819 8290101 18926457 19668671 30397037 59006013 91191111 334367407 1003102221