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323220110000013 = 32375714447382253
BaseRepresentation
bin100100101111101111000101…
…1110101110011111110001101
31120101102112121012110220100200
41021133132023311303332031
5314331114241130000023
63103233134011044113
7125036611432061532
oct11137361365637615
91511375535426320
10323220110000013
1193a95973845056
1230302280a40639
1310b476aa9478b5
1459b5d187c8d89
152757a6bb06743
hex125f78bd73f8d

323220110000013 has 48 divisors (see below), whose sum is σ = 480440704313856. Its totient is φ = 209241503303040.

The previous prime is 323220109999937. The next prime is 323220110000057. The reversal of 323220110000013 is 310000011022323.

323220110000013 is a `hidden beast` number, since 323 + 220 + 110 + 0 + 0 + 0 + 0 + 13 = 666.

It is not a de Polignac number, because 323220110000013 - 217 = 323220109868941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323220110080013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845374795 + ... + 845757047.

It is an arithmetic number, because the mean of its divisors is an integer number (10009181339872).

Almost surely, 2323220110000013 is an apocalyptic number.

It is an amenable number.

323220110000013 is a deficient number, since it is larger than the sum of its proper divisors (157220594313843).

323220110000013 is a wasteful number, since it uses less digits than its factorization.

323220110000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387314 (or 387311 counting only the distinct ones).

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

Adding to 323220110000013 its reverse (310000011022323), we get a palindrome (633220121022336).

The spelling of 323220110000013 in words is "three hundred twenty-three trillion, two hundred twenty billion, one hundred ten million, thirteen", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 571 1713 4447 5139 13341 21127 40023 63381 164539 190143 382253 493617 1146759 1480851 2539237 3440277 7617711 14143361 22853133 42430083 93951769 127290249 218266463 281855307 654799389 845565921 1699879091 1964398167 5099637273 8075859131 15298911819 24227577393 62895526367 72682732179 188686579101 566059737303 970630960961 2911892882883 8735678648649 35913345555557 107740036666671 323220110000013