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13143130400 = 255216428913
BaseRepresentation
bin11000011110110010…
…00100000100100000
31020220222010012110102
430033121010010200
5203404120133100
610012102521532
7643461523301
oct141731040440
936828105412
1013143130400
115634a55444
1226697362a8
131315c36b4a
148c97867a8
1551dcc5cd5
hex30f644120

13143130400 has 36 divisors (see below), whose sum is σ = 32085669042. Its totient is φ = 5257251840.

The previous prime is 13143130367. The next prime is 13143130409. The reversal of 13143130400 is 403134131.

It can be written as a sum of positive squares in 3 ways, for example, as 7129438096 + 6013692304 = 84436^2 + 77548^2 .

It is a super-2 number, since 2×131431304002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13143130409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8213657 + ... + 8215256.

Almost surely, 213143130400 is an apocalyptic number.

13143130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13143130400 is an abundant number, since it is smaller than the sum of its proper divisors (18942538642).

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

13143130400 is a wasteful number, since it uses less digits than its factorization.

13143130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16428933 (or 16428920 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13143130400 its reverse (403134131), we get a palindrome (13546264531).

The spelling of 13143130400 in words is "thirteen billion, one hundred forty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16428913 32857826 65715652 82144565 131431304 164289130 262862608 328578260 410722825 525725216 657156520 821445650 1314313040 1642891300 2628626080 3285782600 6571565200 13143130400