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211142142243 = 322359107161573
BaseRepresentation
bin1100010010100100001…
…1010110100100100011
3202011222212012011020100
43010221003112210203
511424404342022433
6240555232513443
721153204411504
oct3045103264443
9664885164210
10211142142243
11815aa26461a
1234b070ab883
1316bab823c56
14a30dbd2bab
15575b73eb13
hex31290d6923

211142142243 has 48 divisors (see below), whose sum is σ = 326663850240. Its totient is φ = 131121494592.

The previous prime is 211142142223. The next prime is 211142142271. The reversal of 211142142243 is 342241241112.

211142142243 is a `hidden beast` number, since 2 + 1 + 11 + 421 + 4 + 224 + 3 = 666.

It is not a de Polignac number, because 211142142243 - 216 = 211142076707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211142142203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226005 + ... + 1387577.

It is an arithmetic number, because the mean of its divisors is an integer number (6805496880).

Almost surely, 2211142142243 is an apocalyptic number.

211142142243 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

211142142243 is a deficient number, since it is larger than the sum of its proper divisors (115521707997).

211142142243 is a wasteful number, since it uses less digits than its factorization.

211142142243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161768 (or 161765 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 211142142243 its reverse (342241241112), we get a palindrome (553383383355).

The spelling of 211142142243 in words is "two hundred eleven billion, one hundred forty-two million, one hundred forty-two thousand, two hundred forty-three".

Divisors: 1 3 9 23 59 69 107 177 207 321 531 963 1357 2461 4071 6313 7383 12213 18939 22149 56817 145199 161573 435597 484719 1306791 1454157 3716179 9532807 11148537 17288311 28598421 33445611 51864933 85795263 155594799 219254561 397631153 657763683 1020010349 1192893459 1973291049 3060031047 3578680377 9180093141 23460238027 70380714081 211142142243