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13310320434399 = 32163109128512917
BaseRepresentation
bin1100000110110000110011…
…1010111101110011011111
31202010110021010010221111200
43001230030322331303133
53221034014012400044
644150402104250543
72542432101644052
oct301541472756337
952113233127450
1013310320434399
11427196998211a
1215ab767470a53
137572089a8331
14340319a9ca99
15181372dec369
hexc1b0cebdcdf

13310320434399 has 48 divisors (see below), whose sum is σ = 19375130995584. Its totient is φ = 8804914488000.

The previous prime is 13310320434361. The next prime is 13310320434409. The reversal of 13310320434399 is 99343402301331.

13310320434399 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 3 + 204 + 3 + 439 + 9 = 666.

It is not a de Polignac number, because 13310320434399 - 28 = 13310320434143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310320434319) 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, 4563015489 + ... + 4563018405.

It is an arithmetic number, because the mean of its divisors is an integer number (403648562408).

Almost surely, 213310320434399 is an apocalyptic number.

13310320434399 is a deficient number, since it is larger than the sum of its proper divisors (6064810561185).

13310320434399 is a wasteful number, since it uses less digits than its factorization.

13310320434399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 13310320434399 in words is "thirteen trillion, three hundred ten billion, three hundred twenty million, four hundred thirty-four thousand, three hundred ninety-nine".

Divisors: 1 3 9 163 489 1091 1467 2851 2917 3273 8553 8751 9819 25659 26253 177833 464713 475471 533499 1394139 1426413 1600497 3110441 3182447 4182417 4279239 8316367 9331323 9547341 24949101 27993969 28642023 74847303 507001883 518738861 1355567821 1521005649 1556216583 4066703463 4563016947 4668649749 9073156397 12200110389 27219469191 81658407573 1478924492711 4436773478133 13310320434399