Search a number
-
+
12100121020 = 2251346538927
BaseRepresentation
bin10110100010011100…
…10011000110111100
31011020021111211120101
423101032103012330
5144240112333040
65320403330444
7605565221521
oct132116230674
934207454511
1012100121020
11514a226019
122418380a24
1311aab1b430
1482b041148
154ac44b09a
hex2d13931bc

12100121020 has 24 divisors (see below), whose sum is σ = 27364889664. Its totient is φ = 4467736896.

The previous prime is 12100121017. The next prime is 12100121041. The reversal of 12100121020 is 2012100121.

12100121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12100120988 and 12100121006.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23269204 + ... + 23269723.

It is an arithmetic number, because the mean of its divisors is an integer number (1140203736).

Almost surely, 212100121020 is an apocalyptic number.

12100121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100121020 is an abundant number, since it is smaller than the sum of its proper divisors (15264768644).

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

12100121020 is a wasteful number, since it uses less digits than its factorization.

12100121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46538949 (or 46538947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100121020 its reverse (2012100121), we get a palindrome (14112221141).

The spelling of 12100121020 in words is "twelve billion, one hundred million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 46538927 93077854 186155708 232694635 465389270 605006051 930778540 1210012102 2420024204 3025030255 6050060510 12100121020