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16135310000 = 24542955639
BaseRepresentation
bin11110000011011110…
…10100101010110000
31112122111102200020002
433001233110222300
5231021114410000
611225031405132
71110563605055
oct170157245260
945574380202
1016135310000
11692aa64247
1231638237a8
1316a1b10914
14ad0d1502c
156468228d5
hex3c1bd4ab0

16135310000 has 100 divisors (see below), whose sum is σ = 40413001200. Its totient is φ = 6231456000.

The previous prime is 16135309999. The next prime is 16135310053. The reversal of 16135310000 is 1353161.

It is a happy number.

16135310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×161353100002 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 262181 + ... + 317819.

It is an arithmetic number, because the mean of its divisors is an integer number (404130012).

Almost surely, 216135310000 is an apocalyptic number.

16135310000 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 16135310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206500600).

16135310000 is an abundant number, since it is smaller than the sum of its proper divisors (24277691200).

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

16135310000 is an equidigital number, since it uses as much as digits as its factorization.

16135310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55696 (or 55675 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 16135310000 its reverse (1353161), we get a palindrome (16136663161).

The spelling of 16135310000 in words is "sixteen billion, one hundred thirty-five million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 55639 58000 72500 111278 145000 222556 278195 290000 445112 556390 890224 1112780 1390975 1613531 2225560 2781950 3227062 4451120 5563900 6454124 6954875 8067655 11127800 12908248 13909750 16135310 22255600 25816496 27819500 32270620 34774375 40338275 55639000 64541240 69548750 80676550 111278000 129082480 139097500 161353100 201691375 278195000 322706200 403382750 556390000 645412400 806765500 1008456875 1613531000 2016913750 3227062000 4033827500 8067655000 16135310000