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211142403241 = 71114935951263
BaseRepresentation
bin1100010010100100010…
…0010110010010101001
3202011222212200102020221
43010221010112102221
511424404423400431
6240555242250041
721153206546440
oct3045104262251
9664885612227
10211142403241
11815aa422720
1234b071b6921
1316bab8b59a3
14a30dc5dd57
15575b792111
hex31291164a9

211142403241 has 32 divisors (see below), whose sum is σ = 265752576000. Its totient is φ = 162963948480.

The previous prime is 211142403163. The next prime is 211142403257. The reversal of 211142403241 is 142304241112.

It is a cyclic number.

It is not a de Polignac number, because 211142403241 - 215 = 211142370473 is a prime.

It is a super-2 number, since 2×2111424032412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211142403041) 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, 4093176 + ... + 4144438.

It is an arithmetic number, because the mean of its divisors is an integer number (8304768000).

Almost surely, 2211142403241 is an apocalyptic number.

It is an amenable number.

211142403241 is a deficient number, since it is larger than the sum of its proper divisors (54610172759).

211142403241 is a wasteful number, since it uses less digits than its factorization.

211142403241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51789.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211142403241 its reverse (142304241112), we get a palindrome (353446644353).

The spelling of 211142403241 in words is "two hundred eleven billion, one hundred forty-two million, four hundred three thousand, two hundred forty-one".

Divisors: 1 7 11 77 149 359 1043 1639 2513 3949 11473 27643 51263 53491 358841 374437 563893 588401 3947251 4118807 7638187 18403417 53467309 84020057 128823919 202437587 588140399 1417063109 2742109133 19194763931 30163200463 211142403241