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313323430221 = 321783190112979
BaseRepresentation
bin1001000111100111000…
…10000010000101001101
31002221202001022102001200
410203303202002011031
520113141244231341
6355534440300113
731431306133254
oct4436342020515
91087661272050
10313323430221
111109749a965a
1250883471639
1323714212c29
141124481d79b
15823c1ebdb6
hex48f388214d

313323430221 has 48 divisors (see below), whose sum is σ = 485266541760. Its totient is φ = 194109350400.

The previous prime is 313323430213. The next prime is 313323430249. The reversal of 313323430221 is 122034323313.

313323430221 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 2 + 3 + 430 + 221 = 666.

It is not a de Polignac number, because 313323430221 - 23 = 313323430213 is a prime.

It is a super-2 number, since 2×3133234302212 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313323430921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24134310 + ... + 24147288.

It is an arithmetic number, because the mean of its divisors is an integer number (10109719620).

Almost surely, 2313323430221 is an apocalyptic number.

It is an amenable number.

313323430221 is a deficient number, since it is larger than the sum of its proper divisors (171943111539).

313323430221 is a wasteful number, since it uses less digits than its factorization.

313323430221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313323430221 its reverse (122034323313), we get a palindrome (435357753534).

The spelling of 313323430221 in words is "three hundred thirteen billion, three hundred twenty-three million, four hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 83 153 249 747 1411 1901 4233 5703 12699 12979 17109 32317 38937 96951 116811 157783 220643 290853 473349 661929 1077257 1420047 1985787 2682311 3231771 8046933 9695313 18313369 24140799 24673079 54940107 74019237 164820321 222057711 419442343 1258327029 2047865557 3774981087 6143596671 18430790013 34813714469 104441143407 313323430221