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212214465530145 = 33513235257387973
BaseRepresentation
bin110000010000001000000111…
…110101011000100100100001
31000211101111121222102220202000
4300100020013311120210201
5210303410211133431040
62031201551332114213
762461663200263361
oct6020100765304441
91024344558386660
10212214465530145
1161688716410241
121b974703165969
139154979b83210
143a5934093c9a1
1519802ba372130
hexc10207d58921

212214465530145 has 64 divisors (see below), whose sum is σ = 423955766223360. Its totient is φ = 99932430571776.

The previous prime is 212214465530107. The next prime is 212214465530147. The reversal of 212214465530145 is 541035564412212.

212214465530145 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 44 + 65 + 530 + 14 + 5 = 666.

It is not a de Polignac number, because 212214465530145 - 27 = 212214465530017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 212214465530145.

It is not an unprimeable number, because it can be changed into a prime (212214465530147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2628653622 + ... + 2628734351.

It is an arithmetic number, because the mean of its divisors is an integer number (6624308847240).

Almost surely, 2212214465530145 is an apocalyptic number.

It is an amenable number.

212214465530145 is a deficient number, since it is larger than the sum of its proper divisors (211741300693215).

212214465530145 is a wasteful number, since it uses less digits than its factorization.

212214465530145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257388023 (or 5257388017 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 212214465530145 in words is "two hundred twelve trillion, two hundred fourteen billion, four hundred sixty-five million, five hundred thirty thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 585 621 897 1035 1495 1755 2691 3105 4485 8073 13455 40365 5257387973 15772163919 26286939865 47316491757 68346043649 78860819595 120919923379 141949475271 205038130947 236582458785 341730218245 362759770137 604599616895 615114392841 709747376355 1025190654735 1088279310411 1571959003927 1813798850685 1845343178523 3075571964205 3264837931233 4715877011781 5441396552055 7859795019635 9226715892615 14147631035343 16324189656165 23579385058905 42442893106029 70738155176715 212214465530145