Search a number
-
+
12101114242200 = 2335220168523737
BaseRepresentation
bin1011000000011000001010…
…0111011010010010011000
31120211212002110100210222210
42300012002213122102120
53041231040221222300
641423101455115120
72356163614622364
oct260060247322230
946755073323883
1012101114242200
113946065572625
12143533a812aa0
1369a18ccc8729
142db9a8a082a4
1515eb9eda6050
hexb01829da498

12101114242200 has 48 divisors (see below), whose sum is σ = 37513454152680. Its totient is φ = 3226963797760.

The previous prime is 12101114242187. The next prime is 12101114242207. The reversal of 12101114242200 is 224241110121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101114242207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10084261269 + ... + 10084262468.

Almost surely, 212101114242200 is an apocalyptic number.

12101114242200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101114242200 is an abundant number, since it is smaller than the sum of its proper divisors (25412339910480).

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

12101114242200 is a wasteful number, since it uses less digits than its factorization.

12101114242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20168523756 (or 20168523747 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12101114242200 its reverse (224241110121), we get a palindrome (12325355352321).

The spelling of 12101114242200 in words is "twelve trillion, one hundred one billion, one hundred fourteen million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20168523737 40337047474 60505571211 80674094948 100842618685 121011142422 161348189896 201685237370 242022284844 302527856055 403370474740 484044569688 504213093425 605055712110 806740949480 1008426186850 1210111424220 1512639280275 2016852373700 2420222848440 3025278560550 4033704747400 6050557121100 12101114242200