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214212311432241 = 316315111291922441
BaseRepresentation
bin110000101101001100110000…
…101110101011110000110001
31001002110111102021222020220020
4300231030300232223300301
5211034123303211312431
62035331435523234053
763056220525251553
oct6055146056536061
91032414367866806
10214212311432241
1162288a27333421
1220037945818929
13926b199068035
143ac7d0729d4d3
1519b724919d696
hexc2d330babc31

214212311432241 has 32 divisors (see below), whose sum is σ = 287593921198080. Its totient is φ = 141820852060800.

The previous prime is 214212311432233. The next prime is 214212311432263. The reversal of 214212311432241 is 142234113212412.

It is a happy number.

It is not a de Polignac number, because 214212311432241 - 23 = 214212311432233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214212311432201) 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 31 ways as a sum of consecutive naturals, for example, 9545566581 + ... + 9545589021.

It is an arithmetic number, because the mean of its divisors is an integer number (8987310037440).

Almost surely, 2214212311432241 is an apocalyptic number.

It is an amenable number.

214212311432241 is a deficient number, since it is larger than the sum of its proper divisors (73381609765839).

214212311432241 is a wasteful number, since it uses less digits than its factorization.

214212311432241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37037.

The product of its digits is 18432, while the sum is 33.

Adding to 214212311432241 its reverse (142234113212412), we get a palindrome (356446424644653).

The spelling of 214212311432241 in words is "two hundred fourteen trillion, two hundred twelve billion, three hundred eleven million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 163 489 1511 4533 12919 22441 38757 67323 246293 738879 2105797 3657883 6317391 10973649 19520609 33908351 58561827 101725053 289915279 869745837 3181859267 5527061213 9545577801 16581183639 47256190477 141768571431 438061986569 1314185959707 71404103810747 214212311432241