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10216127271 = 3717191506137
BaseRepresentation
bin10011000001110110…
…11011101100100111
3222100222110001000010
421200323123230213
5131410312033041
64405423021303
7511110435420
oct114073335447
928328401003
1010216127271
114372812699
121b9143a833
13c6a70022c
146ccb42647
153ebd50a16
hex260edbb27

10216127271 has 32 divisors (see below), whose sum is σ = 17350709760. Its totient is φ = 5205206016.

The previous prime is 10216127267. The next prime is 10216127287. The reversal of 10216127271 is 17272161201.

It is not a de Polignac number, because 10216127271 - 22 = 10216127267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216127171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746286 + ... + 759851.

It is an arithmetic number, because the mean of its divisors is an integer number (542209680).

Almost surely, 210216127271 is an apocalyptic number.

10216127271 is a deficient number, since it is larger than the sum of its proper divisors (7134582489).

10216127271 is a wasteful number, since it uses less digits than its factorization.

10216127271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506183.

The product of its (nonzero) digits is 2352, while the sum is 30.

Adding to 10216127271 its reverse (17272161201), we get a palindrome (27488288472).

The spelling of 10216127271 in words is "ten billion, two hundred sixteen million, one hundred twenty-seven thousand, two hundred seventy-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 399 969 2261 6783 1506137 4518411 10542959 25604329 28616603 31628877 76812987 85849809 179230303 200316221 486482251 537690909 600948663 1459446753 3405375757 10216127271