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135871399131 = 313171277160481
BaseRepresentation
bin111111010001010010…
…0010000010011011011
3110222201010000020001220
41332202210100103123
54211231034233011
6142230215343123
712550006560036
oct1764244202333
9428633006056
10135871399131
1152693954206
12223bb081aa3
13ca744248c0
14680d1a001d
153803547506
hex1fa29104db

135871399131 has 32 divisors (see below), whose sum is σ = 206736763968. Its totient is φ = 78632632320.

The previous prime is 135871399109. The next prime is 135871399141. The reversal of 135871399131 is 131993178531.

It is a happy number.

It is not a de Polignac number, because 135871399131 - 27 = 135871399003 is a prime.

It is a super-4 number, since 4×1358713991314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (135871399141) 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, 766411 + ... + 926891.

It is an arithmetic number, because the mean of its divisors is an integer number (6460523874).

Almost surely, 2135871399131 is an apocalyptic number.

135871399131 is a deficient number, since it is larger than the sum of its proper divisors (70865364837).

135871399131 is a wasteful number, since it uses less digits than its factorization.

135871399131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161791.

The product of its digits is 612360, while the sum is 51.

The spelling of 135871399131 in words is "one hundred thirty-five billion, eight hundred seventy-one million, three hundred ninety-nine thousand, one hundred thirty-one".

Divisors: 1 3 13 17 39 51 221 663 1277 3831 16601 21709 49803 65127 160481 282217 481443 846651 2086253 2728177 6258759 8184531 35466301 106398903 204934237 614802711 2664145081 3483882029 7992435243 10451646087 45290466377 135871399131