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100313230221 = 355325730307
BaseRepresentation
bin101110101101100100…
…0100110101110001101
3100120221000001002100000
41131123020212232031
53120420141331341
6114025552354513
710150566250101
oct1353310465615
9316830032300
10100313230221
11395a7226656
1217536845a39
1395c8690479
144bd88b9901
1529219ad8b6
hex175b226b8d

100313230221 has 48 divisors (see below), whose sum is σ = 153699384384. Its totient is φ = 65356222464.

The previous prime is 100313230177. The next prime is 100313230223. The reversal of 100313230221 is 122032313001.

100313230221 is a `hidden beast` number, since 100 + 313 + 2 + 30 + 221 = 666.

It is not a de Polignac number, because 100313230221 - 27 = 100313230093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313230194 and 100313230203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313230223) 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, 3294750 + ... + 3325056.

It is an arithmetic number, because the mean of its divisors is an integer number (3202070508).

Almost surely, 2100313230221 is an apocalyptic number.

It is an amenable number.

100313230221 is a deficient number, since it is larger than the sum of its proper divisors (53386154163).

100313230221 is an equidigital number, since it uses as much as digits as its factorization.

100313230221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30632 (or 30620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100313230221 its reverse (122032313001), we get a palindrome (222345543222).

The spelling of 100313230221 in words is "one hundred billion, three hundred thirteen million, two hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 53 81 159 243 257 477 771 1431 2313 4293 6939 12879 13621 20817 30307 40863 62451 90921 122589 272763 367767 818289 1103301 1606271 2454867 3309903 4818813 7364601 7788899 14456439 23366697 43369317 70100091 130107951 210300273 390323853 412811647 630900819 1238434941 1892702457 3715304823 11145914469 33437743407 100313230221