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101045000 = 235472887
BaseRepresentation
bin1100000010111…
…01001100001000
321001010121200102
412001131030020
5201331420000
614005424532
72334603560
oct601351410
9231117612
10101045000
1152045671
1229a0b148
1317c1b354
14d5c3da0
158d0e3d5
hex605d308

101045000 has 80 divisors (see below), whose sum is σ = 270663360. Its totient is φ = 34632000.

The previous prime is 101044981. The next prime is 101045047. The reversal of 101045000 is 540101.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33557 + ... + 36443.

It is an arithmetic number, because the mean of its divisors is an integer number (3383292).

Almost surely, 2101045000 is an apocalyptic number.

101045000 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 101045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331680).

101045000 is an abundant number, since it is smaller than the sum of its proper divisors (169618360).

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

101045000 is an equidigital number, since it uses as much as digits as its factorization.

101045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101045000 is about 10052.1142054794. The cubic root of 101045000 is about 465.7701040187.

Adding to 101045000 its reverse (540101), we get a palindrome (101585101).

The spelling of 101045000 in words is "one hundred one million, forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 2887 3500 4375 5000 5774 7000 8750 11548 14435 17500 20209 23096 28870 35000 40418 57740 72175 80836 101045 115480 144350 161672 202090 288700 360875 404180 505225 577400 721750 808360 1010450 1443500 1804375 2020900 2526125 2887000 3608750 4041800 5052250 7217500 10104500 12630625 14435000 20209000 25261250 50522500 101045000