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103009221 = 32723759107
BaseRepresentation
bin1100010001111…
…00101111000101
321011211102002100
412020330233011
5202332243341
614115502313
72360364300
oct610745705
9234742070
10103009221
1153167397
122a5b7999
1318458403
14d975b37
15909b3b6
hex623cbc5

103009221 has 72 divisors (see below), whose sum is σ = 182463840. Its totient is φ = 55774656.

The previous prime is 103009219. The next prime is 103009237. The reversal of 103009221 is 122900301.

It is a happy number.

It is not a de Polignac number, because 103009221 - 21 = 103009219 is a prime.

It is a super-2 number, since 2×1030092212 = 21221799222053682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103009194 and 103009203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103009201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 962650 + ... + 962756.

It is an arithmetic number, because the mean of its divisors is an integer number (2534220).

Almost surely, 2103009221 is an apocalyptic number.

It is an amenable number.

103009221 is a deficient number, since it is larger than the sum of its proper divisors (79454619).

103009221 is a wasteful number, since it uses less digits than its factorization.

103009221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103009221 is about 10149.3458409890. The cubic root of 103009221 is about 468.7688026591.

Adding to 103009221 its reverse (122900301), we get a palindrome (225909522).

The spelling of 103009221 in words is "one hundred three million, nine thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 49 59 63 107 111 147 177 259 321 333 413 441 531 749 777 963 1239 1813 2183 2247 2331 2891 3717 3959 5243 5439 6313 6549 6741 8673 11877 15281 15729 16317 18939 19647 26019 27713 35631 44191 45843 47187 56817 83139 106967 132573 137529 193991 233581 249417 309337 320901 397719 581973 700743 928011 962703 1635067 1745919 2102229 2784033 4905201 11445469 14715603 34336407 103009221