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13330312400 = 2452231448947
BaseRepresentation
bin11000110101000110…
…00110110011010000
31021102000100000220002
430122203012303100
5204300024444100
610042430505132
7651223533356
oct143243066320
937360300802
1013330312400
115720683009
1227003651a8
131345953a22
1490658d7d6
1553044c2d5
hex31a8c6cd0

13330312400 has 60 divisors (see below), whose sum is σ = 33418536672. Its totient is φ = 5100289920.

The previous prime is 13330312393. The next prime is 13330312403. The reversal of 13330312400 is 421303331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330312403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715274 + ... + 733673.

Almost surely, 213330312400 is an apocalyptic number.

13330312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330312400 is an abundant number, since it is smaller than the sum of its proper divisors (20088224272).

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

13330312400 is a wasteful number, since it uses less digits than its factorization.

13330312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448988 (or 1448977 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13330312400 its reverse (421303331), we get a palindrome (13751615731).

The spelling of 13330312400 in words is "thirteen billion, three hundred thirty million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 1448947 2897894 5795788 7244735 11591576 14489470 23183152 28978940 33325781 36223675 57957880 66651562 72447350 115915760 133303124 144894700 166628905 266606248 289789400 333257810 533212496 579578800 666515620 833144525 1333031240 1666289050 2666062480 3332578100 6665156200 13330312400