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214004004402201 = 31317972742166723
BaseRepresentation
bin110000101010001010110000…
…101010011011010000011001
31001001201120202000112201110120
4300222022300222123100121
5211022220200111332301
62035052025444503453
763035164504565226
oct6052126052332031
91031646660481416
10214004004402201
1162208652459642
12200034b00aab89
13925464ca16190
143abbbc5c3094d
1519b1b067d1e36
hexc2a2b0a9b419

214004004402201 has 32 divisors (see below), whose sum is σ = 309429540725760. Its totient is φ = 130778907614784.

The previous prime is 214004004402187. The next prime is 214004004402211. The reversal of 214004004402201 is 102204400400412.

It is not a de Polignac number, because 214004004402201 - 26 = 214004004402137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214004004402211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16008175 + ... + 26158548.

It is an arithmetic number, because the mean of its divisors is an integer number (9669673147680).

Almost surely, 2214004004402201 is an apocalyptic number.

It is an amenable number.

214004004402201 is a deficient number, since it is larger than the sum of its proper divisors (95425536323559).

214004004402201 is a wasteful number, since it uses less digits than its factorization.

214004004402201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42167645.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214004004402201 its reverse (102204400400412), we get a palindrome (316208404802613).

The spelling of 214004004402201 in words is "two hundred fourteen trillion, four billion, four million, four hundred two thousand, two hundred one".

Divisors: 1 3 13 39 179 537 727 2181 2327 6981 9451 28353 130133 390399 1691729 5075187 42166723 126500169 548167399 1644502197 7547843417 22643530251 30655207621 91965622863 98121964421 294365893263 398517699073 1195553097219 5487282164159 16461846492477 71334668134067 214004004402201