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313324220121 = 31134727362171
BaseRepresentation
bin1001000111100111001…
…01000010111011011001
31002221202002210112121020
410203303211002323121
520113142000020441
6355534505233053
731431315633213
oct4436345027331
91087662715536
10313324220121
11110975399070
1250883792789
132371442b623
14112449875b3
15823c305e66
hex48f3942ed9

313324220121 has 16 divisors (see below), whose sum is σ = 457057721088. Its totient is φ = 189346216400.

The previous prime is 313324220063. The next prime is 313324220129. The reversal of 313324220121 is 121022423313.

313324220121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 313324220121 - 223 = 313315831513 is a prime.

It is a super-2 number, since 2×3133242201212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313324220091 and 313324220100.

It is not an unprimeable number, because it can be changed into a prime (313324220129) 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, 13669635 + ... + 13692536.

It is an arithmetic number, because the mean of its divisors is an integer number (28566107568).

Almost surely, 2313324220121 is an apocalyptic number.

It is an amenable number.

313324220121 is a deficient number, since it is larger than the sum of its proper divisors (143733500967).

313324220121 is a wasteful number, since it uses less digits than its factorization.

313324220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27362532.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313324220121 its reverse (121022423313), we get a palindrome (434346643434).

The spelling of 313324220121 in words is "three hundred thirteen billion, three hundred twenty-four million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 347 1041 3817 11451 27362171 82086513 300983881 902951643 9494673337 28484020011 104441406707 313324220121