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12434530100 = 2252294287769
BaseRepresentation
bin10111001010010011…
…11101111100110100
31012002120202120120212
423211021331330310
5200431214430400
65413511044552
7620065522226
oct134511757464
935076676525
1012434530100
115300a71563
1224b0370758
1312321a6025
1485d610416
154cb9a5335
hex2e527df34

12434530100 has 36 divisors (see below), whose sum is σ = 27913382700. Its totient is φ = 4802300160.

The previous prime is 12434530093. The next prime is 12434530103. The reversal of 12434530100 is 103543421.

It can be written as a sum of positive squares in 6 ways, for example, as 212343184 + 12222186916 = 14572^2 + 110554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434530103) 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, 2140985 + ... + 2146784.

Almost surely, 212434530100 is an apocalyptic number.

12434530100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434530100 is an abundant number, since it is smaller than the sum of its proper divisors (15478852600).

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

12434530100 is a wasteful number, since it uses less digits than its factorization.

12434530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287812 (or 4287805 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 12434530100 in words is "twelve billion, four hundred thirty-four million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4287769 8575538 17151076 21438845 42877690 85755380 107194225 124345301 214388450 248690602 428776900 497381204 621726505 1243453010 2486906020 3108632525 6217265050 12434530100