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12145410100225 = 527389105171147
BaseRepresentation
bin1011000010111101001011…
…0110101100110000000001
31121000002102111211112212001
42300233102312230300001
53042442244441201400
641455305133104001
72362322404325533
oct260572266546001
947002374745761
1012145410100225
11396292640a356
121441a41328001
136a13cc07a0cc
142ddbab941853
15160de3aa4a6a
hexb0bd2dacc01

12145410100225 has 48 divisors (see below), whose sum is σ = 15453055316160. Its totient is φ = 9466402176000.

The previous prime is 12145410100223. The next prime is 12145410100237. The reversal of 12145410100225 is 52200101454121.

It is not a de Polignac number, because 12145410100225 - 21 = 12145410100223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12145410100193 and 12145410100202.

It is not an unprimeable number, because it can be changed into a prime (12145410100223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170673102 + ... + 170744248.

It is an arithmetic number, because the mean of its divisors is an integer number (321938652420).

Almost surely, 212145410100225 is an apocalyptic number.

It is an amenable number.

12145410100225 is a deficient number, since it is larger than the sum of its proper divisors (3307645215935).

12145410100225 is a wasteful number, since it uses less digits than its factorization.

12145410100225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72370 (or 72365 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 12145410100225 its reverse (52200101454121), we get a palindrome (64345511554346).

The spelling of 12145410100225 in words is "twelve trillion, one hundred forty-five billion, four hundred ten million, one hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 73 89 365 445 1051 1825 2225 5255 6497 26275 32485 71147 76723 93539 162425 355735 383615 467695 1778675 1918075 2338475 5193731 6332083 6828347 25968655 31660415 34141735 74775497 129843275 158302075 170708675 373877485 462242059 1869387425 2311210295 5458611281 6655019233 11556051475 27293056405 33275096165 136465282025 166375480825 485816404009 2429082020045 12145410100225