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101044080 = 24325140339
BaseRepresentation
bin1100000010111…
…00111101110000
321001010120102100
412001130331300
5201331402310
614005420400
72334601104
oct601347560
9231116370
10101044080
1152044a05
1229a0a700
1317c1aac7
14d5c3904
158d0dec0
hex605cf70

101044080 has 60 divisors (see below), whose sum is σ = 339342120. Its totient is φ = 26944896.

The previous prime is 101044079. The next prime is 101044087. The reversal of 101044080 is 80440101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1010440802 = 20419812206092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101044087) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69450 + ... + 70889.

It is an arithmetic number, because the mean of its divisors is an integer number (5655702).

Almost surely, 2101044080 is an apocalyptic number.

101044080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101044080 is an abundant number, since it is smaller than the sum of its proper divisors (238298040).

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

101044080 is a wasteful number, since it uses less digits than its factorization.

101044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140358 (or 140349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101044080 is about 10052.0684438577. The cubic root of 101044080 is about 465.7686904247.

Adding to 101044080 its reverse (80440101), we get a palindrome (181484181).

The spelling of 101044080 in words is "one hundred one million, forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 140339 280678 421017 561356 701695 842034 1122712 1263051 1403390 1684068 2105085 2245424 2526102 2806780 3368136 4210170 5052204 5613560 6315255 6736272 8420340 10104408 11227120 12630510 16840680 20208816 25261020 33681360 50522040 101044080