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212116377 = 31143831801
BaseRepresentation
bin11001010010010…
…10001110011001
3112210010121222010
430221022032121
5413300211002
633014220133
75153650044
oct1451121631
9483117863
10212116377
11a98091a0
125b054649
1334c3a265
1420257c5b
151394e46c
hexca4a399

212116377 has 32 divisors (see below), whose sum is σ = 319689216. Its totient is φ = 123984000.

The previous prime is 212116369. The next prime is 212116381. The reversal of 212116377 is 773611212.

It is not a de Polignac number, because 212116377 - 23 = 212116369 is a prime.

It is a super-2 number, since 2×2121163772 = 89986714783212258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212116357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116877 + ... + 118677.

It is an arithmetic number, because the mean of its divisors is an integer number (9990288).

Almost surely, 2212116377 is an apocalyptic number.

It is an amenable number.

212116377 is a deficient number, since it is larger than the sum of its proper divisors (107572839).

212116377 is a wasteful number, since it uses less digits than its factorization.

212116377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941.

The product of its digits is 3528, while the sum is 30.

The square root of 212116377 is about 14564.2156328448. The cubic root of 212116377 is about 596.3822834976.

Adding to 212116377 its reverse (773611212), we get a palindrome (985727589).

The spelling of 212116377 in words is "two hundred twelve million, one hundred sixteen thousand, three hundred seventy-seven".

Divisors: 1 3 11 33 43 83 129 249 473 913 1419 1801 2739 3569 5403 10707 19811 39259 59433 77443 117777 149483 232329 448449 851873 1644313 2555619 4932939 6427769 19283307 70705459 212116377