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141206506011 = 3319312286427
BaseRepresentation
bin1000001110000010010…
…0000100101000011011
3111111110220221201212000
42003200210010220123
54303142331143021
6144511441252043
713126141332354
oct2034044045033
9444426851760
10141206506011
1154981433a4a
1223449934023
131041482388c
146b97972d2b
153a16ae4b26
hex20e0904a1b

141206506011 has 48 divisors (see below), whose sum is σ = 227538403200. Its totient is φ = 86305882320.

The previous prime is 141206506009. The next prime is 141206506069. The reversal of 141206506011 is 110605602141.

141206506011 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 6 + 50 + 601 + 1 = 666.

It is not a de Polignac number, because 141206506011 - 21 = 141206506009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141206506211) 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 47 ways as a sum of consecutive naturals, for example, 349780 + ... + 636206.

It is an arithmetic number, because the mean of its divisors is an integer number (4740383400).

Almost surely, 2141206506011 is an apocalyptic number.

141206506011 is a deficient number, since it is larger than the sum of its proper divisors (86331897189).

141206506011 is a wasteful number, since it uses less digits than its factorization.

141206506011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286517 (or 286480 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 141206506011 in words is "one hundred forty-one billion, two hundred six million, five hundred six thousand, eleven".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 961 1767 2883 5301 8649 15903 18259 25947 54777 164331 286427 492993 859281 2577843 5442113 7733529 8879237 16326339 26637711 48979017 79913133 146937051 168705503 239739399 275256347 506116509 825769041 1518349527 2477307123 4555048581 5229870593 7431921369 15689611779 47068835337 141206506011