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101413360 = 2451916637
BaseRepresentation
bin1100000101101…
…11000111110000
321001211022222101
412002313013300
5201430211420
614021350144
72340666526
oct602670760
9231738871
10101413360
11522773a4
1229b68354
1318019c09
14d67c316
158d8360a
hex60b71f0

101413360 has 40 divisors (see below), whose sum is σ = 237056256. Its totient is φ = 40346880.

The previous prime is 101413343. The next prime is 101413379. The reversal of 101413360 is 63314101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11962 + ... + 18598.

Almost surely, 2101413360 is an apocalyptic number.

101413360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101413360 is an abundant number, since it is smaller than the sum of its proper divisors (135642896).

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

101413360 is a wasteful number, since it uses less digits than its factorization.

101413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 101413360 is about 10070.4200508221. The cubic root of 101413360 is about 466.3354066364.

Adding to 101413360 its reverse (63314101), we get a palindrome (164727461).

The spelling of 101413360 in words is "one hundred one million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 6637 7640 13274 15280 26548 33185 53096 66370 106192 132740 265480 530960 1267667 2535334 5070668 6338335 10141336 12676670 20282672 25353340 50706680 101413360