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10413130320 = 2432514462681
BaseRepresentation
bin10011011001010101…
…11100001001010000
3222212201010211101100
421230222330021100
5132311230132240
64441141304400
7516022101345
oct115452741120
928781124340
1010413130320
114463a38a2a
122027405100
13c9c478398
1470ad847cc
1540e2b6e30
hex26cabc250

10413130320 has 60 divisors (see below), whose sum is σ = 34970765076. Its totient is φ = 2776834560.

The previous prime is 10413130319. The next prime is 10413130339. The reversal of 10413130320 is 2303131401.

It can be written as a sum of positive squares in 2 ways, for example, as 2991652416 + 7421477904 = 54696^2 + 86148^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×104131303202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10413130293 and 10413130302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7230621 + ... + 7232060.

Almost surely, 210413130320 is an apocalyptic number.

10413130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10413130320 is an abundant number, since it is smaller than the sum of its proper divisors (24557634756).

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

10413130320 is a wasteful number, since it uses less digits than its factorization.

10413130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462700 (or 14462691 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10413130320 its reverse (2303131401), we get a palindrome (12716261721).

The spelling of 10413130320 in words is "ten billion, four hundred thirteen million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14462681 28925362 43388043 57850724 72313405 86776086 115701448 130164129 144626810 173552172 216940215 231402896 260328258 289253620 347104344 433880430 520656516 578507240 650820645 694208688 867760860 1041313032 1157014480 1301641290 1735521720 2082626064 2603282580 3471043440 5206565160 10413130320