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101303300200 = 23524112354061
BaseRepresentation
bin101111001011000100…
…1011011000001101000
3100200111000000212000111
41132112021123001220
53124432121101300
6114312121144104
710214250562354
oct1362611330150
9320430025014
10101303300200
1139a65087903
121777232b034
1397258318ab
144c901a0464
15297d87c9ba
hex179625b068

101303300200 has 48 divisors (see below), whose sum is σ = 241274830860. Its totient is φ = 39532992000.

The previous prime is 101303300173. The next prime is 101303300207. The reversal of 101303300200 is 2003303101.

It can be written as a sum of positive squares in 6 ways, for example, as 2414916 + 101300885284 = 1554^2 + 318278^2 .

It is a super-2 number, since 2×1013033002002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101303300207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6168831 + ... + 6185230.

Almost surely, 2101303300200 is an apocalyptic number.

101303300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303300200 is an abundant number, since it is smaller than the sum of its proper divisors (139971530660).

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

101303300200 is a wasteful number, since it uses less digits than its factorization.

101303300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354118 (or 12354109 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 101303300200 its reverse (2003303101), we get a palindrome (103306603301).

The spelling of 101303300200 in words is "one hundred one billion, three hundred three million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 12354061 24708122 49416244 61770305 98832488 123540610 247081220 308851525 494162440 506516501 617703050 1013033002 1235406100 2026066004 2470812200 2532582505 4052132008 5065165010 10130330020 12662912525 20260660040 25325825050 50651650100 101303300200