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100003203320 = 23541463131701
BaseRepresentation
bin101110100100010100…
…1111100100011111000
3100120010101200002101012
41131020221330203320
53114301310001240
6113535115413052
710140113126426
oct1351051744370
9316111602335
10100003203320
1139458223879
121746aa54188
1395793917b7
144ba9656116
15290466db65
hex1748a7c8f8

100003203320 has 64 divisors (see below), whose sum is σ = 230994771840. Its totient is φ = 38941056000.

The previous prime is 100003203317. The next prime is 100003203331. The reversal of 100003203320 is 23302300001.

It is a super-2 number, since 2×1000032033202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100003203295 and 100003203304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 693470 + ... + 825170.

It is an arithmetic number, because the mean of its divisors is an integer number (3609293310).

Almost surely, 2100003203320 is an apocalyptic number.

100003203320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100003203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115497385920).

100003203320 is an abundant number, since it is smaller than the sum of its proper divisors (130991568520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100003203320 is a wasteful number, since it uses less digits than its factorization.

100003203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132216 (or 132212 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 100003203320 its reverse (23302300001), we get a palindrome (123305503321).

The spelling of 100003203320 in words is "one hundred billion, three million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 463 820 926 1640 1852 2315 3704 4630 9260 18520 18983 37966 75932 94915 131701 151864 189830 263402 379660 526804 658505 759320 1053608 1317010 2634020 5268040 5399741 10799482 21598964 26998705 43197928 53997410 60977563 107994820 121955126 215989640 243910252 304887815 487820504 609775630 1219551260 2439102520 2500080083 5000160166 10000320332 12500400415 20000640664 25000800830 50001601660 100003203320