Search a number
-
+
1012112311212 = 223385310986413
BaseRepresentation
bin11101011101001101001…
…10000100001110101100
310120202102211212120212000
432232212212010032230
5113040301222424322
62052542531212300
7133060041461502
oct16564646041654
93522384776760
101012112311212
11360264017652
121441a2447090
13745987946b2
1436db4d3c672
151b4d9cbe3ac
hexeba69843ac

1012112311212 has 48 divisors (see below), whose sum is σ = 2627071315680. Its totient is φ = 336975228864.

The previous prime is 1012112311211. The next prime is 1012112311237. The reversal of 1012112311212 is 2121132112101.

It is a happy number.

1012112311212 is a `hidden beast` number, since 10 + 1 + 211 + 231 + 1 + 212 = 666.

1012112311212 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 (18).

It is not an unprimeable number, because it can be changed into a prime (1012112311211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5401083 + ... + 5585330.

It is an arithmetic number, because the mean of its divisors is an integer number (54730652410).

Almost surely, 21012112311212 is an apocalyptic number.

1012112311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012112311212 is an abundant number, since it is smaller than the sum of its proper divisors (1614959004468).

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

1012112311212 is a wasteful number, since it uses less digits than its factorization.

1012112311212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987279 (or 10987271 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1012112311212 its reverse (2121132112101), we get a palindrome (3133244423313).

The spelling of 1012112311212 in words is "one trillion, twelve billion, one hundred twelve million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 853 1706 2559 3412 5118 7677 10236 15354 23031 30708 46062 92124 10986413 21972826 32959239 43945652 65918478 98877717 131836956 197755434 296633151 395510868 593266302 1186532604 9371410289 18742820578 28114230867 37485641156 56228461734 84342692601 112456923468 168685385202 253028077803 337370770404 506056155606 1012112311212