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10413332300 = 22527101147289
BaseRepresentation
bin10011011001010111…
…01101011101001100
3222212201112002110002
421230223231131030
5132311303113200
64441145503432
7516023602250
oct115453553514
928781462402
1010413332300
114464066758
1220274a1b78
13c9c5192b7
1470add8260
1540e306bd5
hex26caed74c

10413332300 has 72 divisors (see below), whose sum is σ = 26080934880. Its totient is φ = 3534912000.

The previous prime is 10413332273. The next prime is 10413332311. The reversal of 10413332300 is 323331401.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 2945 + ... + 144344.

Almost surely, 210413332300 is an apocalyptic number.

10413332300 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 10413332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040467440).

10413332300 is an abundant number, since it is smaller than the sum of its proper divisors (15667602580).

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

10413332300 is a wasteful number, since it uses less digits than its factorization.

10413332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147411 (or 147404 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10413332300 its reverse (323331401), we get a palindrome (10736663701).

The spelling of 10413332300 in words is "ten billion, four hundred thirteen million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 147289 294578 589156 736445 1031023 1472890 2062046 2945780 3682225 4124092 5155115 7364450 10310230 14728900 14876189 20620460 25775575 29752378 51551150 59504756 74380945 103102300 104133323 148761890 208266646 297523780 371904725 416533292 520666615 743809450 1041333230 1487618900 2082666460 2603333075 5206666150 10413332300