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11141124134301 = 3271375881219491
BaseRepresentation
bin1010001000011111111010…
…1111110001010110011101
31110110002012002121111102100
42202013332233301112131
52430014010234244201
635410054535315313
72226630304424160
oct242077657612635
943402162544370
1011141124134301
113605a19141867
1212bb283b1bb39
1362a7acb66b75
142a733a1c5ad7
15144c15e2c886
hexa21febf159d

11141124134301 has 48 divisors (see below), whose sum is σ = 18529177500288. Its totient is φ = 6318783475200.

The previous prime is 11141124134291. The next prime is 11141124134351. The reversal of 11141124134301 is 10343142114111.

11141124134301 is a `hidden beast` number, since 1 + 1 + 1 + 411 + 241 + 3 + 4 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 11141124134301 - 26 = 11141124134237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141124134351) 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, 50649166 + ... + 50868656.

It is an arithmetic number, because the mean of its divisors is an integer number (386024531256).

Almost surely, 211141124134301 is an apocalyptic number.

It is an amenable number.

11141124134301 is a deficient number, since it is larger than the sum of its proper divisors (7388053365987).

11141124134301 is a wasteful number, since it uses less digits than its factorization.

11141124134301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225522 (or 225519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11141124134301 its reverse (10343142114111), we get a palindrome (21484266248412).

The spelling of 11141124134301 in words is "eleven trillion, one hundred forty-one billion, one hundred twenty-four million, one hundred thirty-four thousand, three hundred one".

Divisors: 1 3 7 9 21 63 137 411 959 1233 2877 5881 8631 17643 41167 52929 123501 219491 370503 658473 805697 1536437 1975419 2417091 4609311 5639879 7251273 13827933 16919637 30070267 50758911 90210801 210491869 270632403 631475607 1290826571 1894426821 3872479713 9035785997 11617439139 27107357991 81322073973 176843240227 530529720681 1237902681589 1591589162043 3713708044767 11141124134301