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13315100 = 2252472833
BaseRepresentation
bin110010110010…
…110000011100
3221001110212212
4302302300130
511402040400
61153215552
7221114351
oct62626034
927043785
1013315100
117574917
1245615b8
1329b2776
141aa8628
151280335
hexcb2c1c

13315100 has 36 divisors (see below), whose sum is σ = 29518944. Its totient is φ = 5210880.

The previous prime is 13315069. The next prime is 13315103. The reversal of 13315100 is 151331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3284 + ... + 6116.

Almost surely, 213315100 is an apocalyptic number.

13315100 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 13315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759472).

13315100 is an abundant number, since it is smaller than the sum of its proper divisors (16203844).

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

13315100 is a wasteful number, since it uses less digits than its factorization.

13315100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 13315100 is about 3648.9861605657. The cubic root of 13315100 is about 237.0180809554.

Adding to 13315100 its reverse (151331), we get a palindrome (13466431).

The spelling of 13315100 in words is "thirteen million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2833 4700 5666 11332 14165 28330 56660 70825 133151 141650 266302 283300 532604 665755 1331510 2663020 3328775 6657550 13315100