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13354454424100 = 2252149896272109
BaseRepresentation
bin1100001001010101001110…
…0000110001101000100100
31202021200011220000220202211
43002111103200301220210
53222244410313032400
644222541321013204
72545553554450006
oct302252340615044
952250156026684
1013354454424100
114289657410879
1215b8223924204
1375b420363a3a
143425052dc376
151825a77c4dba
hexc2553831a24

13354454424100 has 36 divisors (see below), whose sum is σ = 29173657180500. Its totient is φ = 5305930879360.

The previous prime is 13354454424089. The next prime is 13354454424169. The reversal of 13354454424100 is 142445445331.

It can be written as a sum of positive squares in 6 ways, for example, as 3192232569124 + 10162221854976 = 1786682^2 + 3187824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448121155 + ... + 448150954.

It is an arithmetic number, because the mean of its divisors is an integer number (810379366125).

Almost surely, 213354454424100 is an apocalyptic number.

13354454424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13354454424100 is an abundant number, since it is smaller than the sum of its proper divisors (15819202756400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13354454424100 is a wasteful number, since it uses less digits than its factorization.

13354454424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896272272 (or 896272265 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 13354454424100 its reverse (142445445331), we get a palindrome (13496899869431).

The spelling of 13354454424100 in words is "thirteen trillion, three hundred fifty-four billion, four hundred fifty-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 896272109 1792544218 3585088436 4481360545 8962721090 17925442180 22406802725 44813605450 89627210900 133544544241 267089088482 534178176964 667722721205 1335445442410 2670890884820 3338613606025 6677227212050 13354454424100