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2173681341 = 3213293371901
BaseRepresentation
bin1000000110001111…
…1011111010111101
312121111011110020100
42001203323322331
513422430300331
6555405311313
7104602662246
oct20143737275
95544143210
102173681341
11a15a93a67
12507b65539
132884481a0
14168989ccd
15cac6dae6
hex818fbebd

2173681341 has 48 divisors (see below), whose sum is σ = 3510102960. Its totient is φ = 1287014400.

The previous prime is 2173681337. The next prime is 2173681357. The reversal of 2173681341 is 1431863712.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 591948900 + 1581732441 = 24330^2 + 39771^2 .

It is not a de Polignac number, because 2173681341 - 22 = 2173681337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2173681296 and 2173681305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173681141) 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 47 ways as a sum of consecutive naturals, for example, 1142491 + ... + 1144391.

It is an arithmetic number, because the mean of its divisors is an integer number (73127145).

Almost surely, 22173681341 is an apocalyptic number.

It is an amenable number.

2173681341 is a deficient number, since it is larger than the sum of its proper divisors (1336421619).

2173681341 is a wasteful number, since it uses less digits than its factorization.

2173681341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2283 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2173681341 is about 46622.7556135413. The cubic root of 2173681341 is about 1295.3842900793.

The spelling of 2173681341 in words is "two billion, one hundred seventy-three million, six hundred eighty-one thousand, three hundred forty-one".

Divisors: 1 3 9 13 29 39 87 117 261 337 377 1011 1131 1901 3033 3393 4381 5703 9773 13143 17109 24713 29319 39429 55129 74139 87957 127049 165387 222417 381147 496161 640637 716677 1143441 1921911 2150031 5765733 6450093 8328281 18578473 24984843 55735419 74954529 167206257 241520149 724560447 2173681341