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13135514000 = 24537938251
BaseRepresentation
bin11000011101111000…
…00000100110010000
31020220102210020201112
430032330000212100
5203400142422000
610011231352452
7643340012120
oct141674004620
936812706645
1013135514000
1156307230a4
122667082728
13131449b1bb
148c8762c80
1551d2be235
hex30ef00990

13135514000 has 80 divisors (see below), whose sum is σ = 36299093376. Its totient is φ = 4503600000.

The previous prime is 13135513927. The next prime is 13135514003. The reversal of 13135514000 is 41553131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13135514003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455126 + ... + 483125.

Almost surely, 213135514000 is an apocalyptic number.

13135514000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135514000 is an abundant number, since it is smaller than the sum of its proper divisors (23163579376).

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

13135514000 is an equidigital number, since it uses as much as digits as its factorization.

13135514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938281 (or 938265 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 13135514000 in words is "thirteen billion, one hundred thirty-five million, five hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 938251 1876502 3753004 4691255 6567757 7506008 9382510 13135514 15012016 18765020 23456275 26271028 32838785 37530040 46912550 52542056 65677570 75060080 93825100 105084112 117281375 131355140 164193925 187650200 234562750 262710280 328387850 375300400 469125500 525420560 656775700 820969625 938251000 1313551400 1641939250 1876502000 2627102800 3283878500 6567757000 13135514000