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312121121213 = 11231233680321
BaseRepresentation
bin1001000101010111101…
…11100101100110111101
31002211122020221210011102
410202223313211212331
520103211001334323
6355215250502445
731356436520216
oct4425367454675
91084566853142
10312121121213
11110408266050
12505a8894a25
13235820c0795
141116cc8c40d
1581bb8a7328
hex48abde59bd

312121121213 has 8 divisors (see below), whose sum is σ = 355299932736. Its totient is φ = 271409670400.

The previous prime is 312121121209. The next prime is 312121121237.

312121121213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312121121213 - 22 = 312121121209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121121513) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 616839908 + ... + 616840413.

It is an arithmetic number, because the mean of its divisors is an integer number (44412491592).

Almost surely, 2312121121213 is an apocalyptic number.

It is an amenable number.

312121121213 is a deficient number, since it is larger than the sum of its proper divisors (43178811523).

312121121213 is a wasteful number, since it uses less digits than its factorization.

312121121213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233680355.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 312121 and 121213, that added together give a palindrome (433334).

The spelling of 312121121213 in words is "three hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 11 23 253 1233680321 13570483531 28374647383 312121121213