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180512100 = 223252200569
BaseRepresentation
bin10101100001001…
…10010101100100
3110120122222001100
422300212111210
5332202341400
625525000100
74321220226
oct1260462544
9416588040
10180512100
119299245a
1250553030
132b522cc2
1419d8c416
1510caa100
hexac26564

180512100 has 54 divisors (see below), whose sum is σ = 565807970. Its totient is φ = 48136320.

The previous prime is 180512099. The next prime is 180512107. The reversal of 180512100 is 1215081.

180512100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 179184996 = 1152^2 + 13386^2 .

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 (180512107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99385 + ... + 101184.

Almost surely, 2180512100 is an apocalyptic number.

180512100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180512100 is an abundant number, since it is smaller than the sum of its proper divisors (385295870).

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

180512100 is a wasteful number, since it uses less digits than its factorization.

180512100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200589 (or 200579 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 180512100 is about 13435.4791503690. The cubic root of 180512100 is about 565.1565598455.

Adding to 180512100 its reverse (1215081), we get a palindrome (181727181).

The spelling of 180512100 in words is "one hundred eighty million, five hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 200569 401138 601707 802276 1002845 1203414 1805121 2005690 2406828 3008535 3610242 4011380 5014225 6017070 7220484 9025605 10028450 12034140 15042675 18051210 20056900 30085350 36102420 45128025 60170700 90256050 180512100