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214044211201 = 17229173314737
BaseRepresentation
bin1100011101011000000…
…1110111100000000001
3202110111002221112102211
43013112001313200001
512001330304224301
6242155222142121
721315133530112
oct3072601674001
9673432845384
10214044211201
1182859416a17
1235596b81941
1317251b3a612
14a5073c6209
15587b3dc051
hex31d6077801

214044211201 has 24 divisors (see below), whose sum is σ = 235367923320. Its totient is φ = 194381279232.

The previous prime is 214044211169. The next prime is 214044211217. The reversal of 214044211201 is 102112440412.

It can be written as a sum of positive squares in 12 ways, for example, as 1389500176 + 212654711025 = 37276^2 + 461145^2 .

It is not a de Polignac number, because 214044211201 - 25 = 214044211169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214044211231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14516905 + ... + 14531641.

It is an arithmetic number, because the mean of its divisors is an integer number (9806996805).

Almost surely, 2214044211201 is an apocalyptic number.

It is an amenable number.

214044211201 is a deficient number, since it is larger than the sum of its proper divisors (21323712119).

214044211201 is a wasteful number, since it uses less digits than its factorization.

214044211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16533 (or 16516 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 214044211201 its reverse (102112440412), we get a palindrome (316156651613).

The spelling of 214044211201 in words is "two hundred fourteen billion, forty-four million, two hundred eleven thousand, two hundred one".

Divisors: 1 17 29 289 493 1733 8381 14737 29461 50257 250529 427373 500837 854369 4258993 7265341 14524273 25539221 123510797 434166757 740637409 7380834869 12590835953 214044211201