Search a number
-
+
10010100121212 = 223834175010101
BaseRepresentation
bin1001000110101010100001…
…1101100011111001111100
31022102221211002101120102210
42101222220131203321330
52303001141112334322
633142324305420420
72052130420064652
oct221525035437174
938387732346383
1010010100121212
11320a294612634
12115803633a710
13577c437cc6c9
142686c46b4dd2
151255bb9cb70c
hex91aa8763e7c

10010100121212 has 12 divisors (see below), whose sum is σ = 23356900282856. Its totient is φ = 3336700040400.

The previous prime is 10010100121193. The next prime is 10010100121247. The reversal of 10010100121212 is 21212100101001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 834175010101 = 10010100121212 / (1 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 2 + 1 + 2 + 1 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417087505039 + ... + 417087505062.

Almost surely, 210010100121212 is an apocalyptic number.

10010100121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010100121212 is an abundant number, since it is smaller than the sum of its proper divisors (13346800161644).

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

10010100121212 is a wasteful number, since it uses less digits than its factorization.

10010100121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834175010108 (or 834175010106 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010100121212 its reverse (21212100101001), we get a palindrome (31222200222213).

It can be divided in two parts, 100101001 and 21212, that multiplied together give a palindrome (2123342433212).

The spelling of 10010100121212 in words is "ten trillion, ten billion, one hundred million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 834175010101 1668350020202 2502525030303 3336700040404 5005050060606 10010100121212