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10200351315 = 3572111261639
BaseRepresentation
bin10010111111111110…
…10000001001010011
3222022212202112110110
421133333100021103
5131342242220230
64404100532403
7510526361400
oct113777201123
928285675413
1010200351315
114364917a10
121b880b1103
13c6736864b
146ca9d72a7
153ea7864b0
hex25ffd0253

10200351315 has 48 divisors (see below), whose sum is σ = 20711082240. Its totient is φ = 4239103680.

The previous prime is 10200351307. The next prime is 10200351341. The reversal of 10200351315 is 51315300201.

It is not a de Polignac number, because 10200351315 - 23 = 10200351307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10200351291 and 10200351300.

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 47 ways as a sum of consecutive naturals, for example, 622735 + ... + 638904.

It is an arithmetic number, because the mean of its divisors is an integer number (431480880).

Almost surely, 210200351315 is an apocalyptic number.

10200351315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10200351315 is an abundant number, since it is smaller than the sum of its proper divisors (10510730925).

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

10200351315 is a wasteful number, since it uses less digits than its factorization.

10200351315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261672 (or 1261665 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 10200351315 its reverse (51315300201), we get a palindrome (61515651516).

The spelling of 10200351315 in words is "ten billion, two hundred million, three hundred fifty-one thousand, three hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 1261639 3784917 6308195 8831473 13878029 18924585 26494419 41634087 44157365 61820311 69390145 97146203 132472095 185460933 208170435 291438609 309101555 485731015 680023421 927304665 1457193045 2040070263 3400117105 10200351315