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16113166300 = 225271110120719
BaseRepresentation
bin11110000000110101…
…10110011111011100
31112120221202122210001
433000122312133130
5230444432310200
611222521024044
71110204440140
oct170032663734
945527678701
1016113166300
11691950a370
123158325024
13169a35983a
14acbdcd220
156448eb76a
hex3c06b67dc

16113166300 has 144 divisors (see below), whose sum is σ = 44027182080. Its totient is φ = 4972320000.

The previous prime is 16113166283. The next prime is 16113166301. The reversal of 16113166300 is 366131161.

It is a happy number.

It is a super-2 number, since 2×161131663002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16113166301) by changing a digit.

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, 767341 + ... + 788059.

It is an arithmetic number, because the mean of its divisors is an integer number (305744320).

Almost surely, 216113166300 is an apocalyptic number.

16113166300 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 16113166300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22013591040).

16113166300 is an abundant number, since it is smaller than the sum of its proper divisors (27914015780).

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

16113166300 is a wasteful number, since it uses less digits than its factorization.

16113166300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20852 (or 20845 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 16113166300 its reverse (366131161), we get a palindrome (16479297461).

The spelling of 16113166300 in words is "sixteen billion, one hundred thirteen million, one hundred sixty-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 101 110 140 154 175 202 220 275 308 350 385 404 505 550 700 707 770 1010 1100 1111 1414 1540 1925 2020 2222 2525 2828 3535 3850 4444 5050 5555 7070 7700 7777 10100 11110 14140 15554 17675 20719 22220 27775 31108 35350 38885 41438 55550 70700 77770 82876 103595 111100 145033 155540 194425 207190 227909 290066 388850 414380 455818 517975 580132 725165 777700 911636 1035950 1139545 1450330 1595363 2071900 2092619 2279090 2900660 3190726 3625825 4185238 4558180 5697725 6381452 7251650 7976815 8370476 10463095 11395450 14503300 14648333 15953630 20926190 22790900 23018809 29296666 31907260 39884075 41852380 46037618 52315475 58593332 73241665 79768150 92075236 104630950 115094045 146483330 159536300 161131663 209261900 230188090 292966660 322263326 366208325 460376180 575470225 644526652 732416650 805658315 1150940450 1464833300 1611316630 2301880900 3222633260 4028291575 8056583150 16113166300