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121212013 = 1347283701
BaseRepresentation
bin1110011100110…
…00110001101101
322110002012121211
413032120301231
5222012241023
620005554421
73001166536
oct716306155
9273065554
10121212013
116246a41a
1234715a11
131c15c7b0
141215368d
15a994a0d
hex7398c6d

121212013 has 16 divisors (see below), whose sum is σ = 133975296. Its totient is φ = 108964800.

The previous prime is 121211999. The next prime is 121212017. The reversal of 121212013 is 310212121.

It is a de Polignac number, because none of the positive numbers 2k-121212013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 121211984 and 121212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212017) 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, 172563 + ... + 173263.

It is an arithmetic number, because the mean of its divisors is an integer number (8373456).

Almost surely, 2121212013 is an apocalyptic number.

121212013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121212013 is a deficient number, since it is larger than the sum of its proper divisors (12763283).

121212013 is a wasteful number, since it uses less digits than its factorization.

121212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 121212013 is about 11009.6327368355. The cubic root of 121212013 is about 494.8974558866.

Adding to 121212013 its reverse (310212121), we get a palindrome (431424134).

It can be divided in two parts, 1212 and 12013, that added together give a square (13225 = 1152).

The spelling of 121212013 in words is "one hundred twenty-one million, two hundred twelve thousand, thirteen".

Divisors: 1 13 47 283 611 701 3679 9113 13301 32947 172913 198383 428311 2578979 9324001 121212013