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214005226127 = 71123791529603
BaseRepresentation
bin1100011101001110110…
…1001001101010001111
3202110101101120212222012
43013103231021222033
512001240314214002
6242151310411435
721314151260030
oct3072355115217
9673341525865
10214005226127
1182839409950
1235585b00b7b
1317246a3aa24
14a502158a87
155877c8ad52
hex31d3b49a8f

214005226127 has 32 divisors (see below), whose sum is σ = 281936609280. Its totient is φ = 157487821920.

The previous prime is 214005226117. The next prime is 214005226129. The reversal of 214005226127 is 721622500412.

It is not a de Polignac number, because 214005226127 - 26 = 214005226063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214005226093 and 214005226102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214005226129) 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, 624893 + ... + 904710.

It is an arithmetic number, because the mean of its divisors is an integer number (8810519040).

Almost surely, 2214005226127 is an apocalyptic number.

214005226127 is a deficient number, since it is larger than the sum of its proper divisors (67931383153).

214005226127 is a wasteful number, since it uses less digits than its factorization.

214005226127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529723.

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 214005226127 its reverse (721622500412), we get a palindrome (935627726539).

The spelling of 214005226127 in words is "two hundred fourteen billion, five million, two hundred twenty-six thousand, one hundred twenty-seven".

Divisors: 1 7 11 23 77 79 161 253 553 869 1771 1817 6083 12719 19987 139909 1529603 10707221 16825633 35180869 117779431 120838637 246266083 386989559 845870459 1329225007 2708926913 2779288651 9304575049 19455020557 30572175161 214005226127