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13130314507600 = 245232825786269
BaseRepresentation
bin1011111100010010001110…
…1110110110010101010000
31201111020122012020102012221
42333010203232312111100
53210111341003220400
643531552212430424
72523430301550463
oct277044356662520
951436565212187
1013130314507600
114202598262064
1215808ab918414
1374324ca6a204
1433572119d2da
1517b839e22c1a
hexbf123bb6550

13130314507600 has 30 divisors (see below), whose sum is σ = 31545580605470. Its totient is φ = 5252125802880.

The previous prime is 13130314507559. The next prime is 13130314507601. The reversal of 13130314507600 is 670541303131.

It can be written as a sum of positive squares in 3 ways, for example, as 13835405376 + 13116479102224 = 117624^2 + 3621668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130314507601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16412892735 + ... + 16412893534.

Almost surely, 213130314507600 is an apocalyptic number.

13130314507600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130314507600 is an abundant number, since it is smaller than the sum of its proper divisors (18415266097870).

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

13130314507600 is a wasteful number, since it uses less digits than its factorization.

13130314507600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32825786287 (or 32825786276 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 13130314507600 in words is "thirteen trillion, one hundred thirty billion, three hundred fourteen million, five hundred seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 32825786269 65651572538 131303145076 164128931345 262606290152 328257862690 525212580304 656515725380 820644656725 1313031450760 1641289313450 2626062901520 3282578626900 6565157253800 13130314507600