Search a number
-
+
121212210010100 = 225211412687632151
BaseRepresentation
bin11011100011110111101010…
…101110000101011111110100
3120220011202220022202220222012
4123203313222232011133310
5111341420101230310400
61105444042012223352
734350202363232246
oct3343675256053764
9526152808686865
10121212210010100
113569289a611640
12117178a3a6ab58
135283354529811
1421d09b9042096
15e0301b246d35
hex6e3deab857f4

121212210010100 has 72 divisors (see below), whose sum is σ = 293940953199936. Its totient is φ = 43002114400000.

The previous prime is 121212210010093. The next prime is 121212210010103. The reversal of 121212210010100 is 1010012212121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212210010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343770976 + ... + 1343861175.

It is an arithmetic number, because the mean of its divisors is an integer number (4082513238888).

Almost surely, 2121212210010100 is an apocalyptic number.

121212210010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121212210010100 is an abundant number, since it is smaller than the sum of its proper divisors (172728743189836).

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

121212210010100 is a wasteful number, since it uses less digits than its factorization.

121212210010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687632217 (or 2687632210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121212210010100 its reverse (1010012212121), we get a palindrome (122222222222221).

The spelling of 121212210010100 in words is "one hundred twenty-one trillion, two hundred twelve billion, two hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 2687632151 5375264302 10750528604 13438160755 26876321510 29563953661 53752643020 59127907322 67190803775 110192918191 118255814644 134381607550 147819768305 220385836382 268763215100 295639536610 440771672764 550964590955 591279073220 739098841525 1101929181910 1212122100101 1478197683050 2203858363820 2424244200202 2754822954775 2956395366100 4848488400404 5509645909550 6060610500505 11019291819100 12121221001010 24242442002020 30303052502525 60606105005050 121212210010100