Search a number
-
+
120302100 = 223252133669
BaseRepresentation
bin1110010101110…
…10101000010100
322101100222110100
413022322220110
5221244131400
615534254100
72660356662
oct712725024
9271328410
10120302100
11619a8826
1234357330
131bc01599
1411d97c32
15a865100
hex72baa14

120302100 has 54 divisors (see below), whose sum is σ = 377083070. Its totient is φ = 32080320.

The previous prime is 120302071. The next prime is 120302107. The reversal of 120302100 is 1203021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 118330884 = 1404^2 + 10878^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120302107) 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 17 ways as a sum of consecutive naturals, for example, 65935 + ... + 67734.

Almost surely, 2120302100 is an apocalyptic number.

120302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120302100 is an abundant number, since it is smaller than the sum of its proper divisors (256780970).

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

120302100 is a wasteful number, since it uses less digits than its factorization.

120302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133689 (or 133679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120302100 is about 10968.2313979967. The cubic root of 120302100 is about 493.6559806026.

Adding to 120302100 its reverse (1203021), we get a palindrome (121505121).

Multiplying 120302100 by its reverse (1203021), we get a square (144725952644100 = 120302102).

120302100 divided by its reverse (1203021) gives a square (100 = 102).

The spelling of 120302100 in words is "one hundred twenty million, three hundred two 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 133669 267338 401007 534676 668345 802014 1203021 1336690 1604028 2005035 2406042 2673380 3341725 4010070 4812084 6015105 6683450 8020140 10025175 12030210 13366900 20050350 24060420 30075525 40100700 60151050 120302100