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12300152151 = 3719411077027
BaseRepresentation
bin10110111010010010…
…10110110101010111
31011202012220110200210
423131021112311113
5200142314332101
65352310540503
7613544365620
oct133511266527
934665813623
1012300152151
11524212a401
122473367733
1312103b6951
14849830a47
154becae7d6
hex2dd256d57

12300152151 has 64 divisors (see below), whose sum is σ = 20402565120. Its totient is φ = 6434691840.

The previous prime is 12300152141. The next prime is 12300152153. The reversal of 12300152151 is 15125100321.

It is not a de Polignac number, because 12300152151 - 217 = 12300021079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300152153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1746900 + ... + 1753926.

It is an arithmetic number, because the mean of its divisors is an integer number (318790080).

Almost surely, 212300152151 is an apocalyptic number.

12300152151 is a deficient number, since it is larger than the sum of its proper divisors (8102412969).

12300152151 is a wasteful number, since it uses less digits than its factorization.

12300152151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 12300152151 its reverse (15125100321), we get a palindrome (27425252472).

It can be divided in two parts, 12300 and 152151, that added together give a triangular number (164451 = T573).

The spelling of 12300152151 in words is "twelve billion, three hundred million, one hundred fifty-two thousand, one hundred fifty-one".

Divisors: 1 3 7 19 21 41 57 107 123 133 287 321 399 749 779 861 2033 2247 2337 4387 5453 6099 7027 13161 14231 16359 21081 30709 42693 49189 83353 92127 133513 147567 250059 288107 400539 583471 751889 864321 934591 1750413 2016749 2255667 2803773 5263223 5474033 6050247 14285891 15789669 16422099 30827449 38318231 42857673 92482347 100001237 114954693 215792143 300003711 585721531 647376429 1757164593 4100050717 12300152151