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1311240141 = 321719716353
BaseRepresentation
bin100111000100111…
…1110111111001101
310101101022220022200
41032021332333031
510141134141031
6334040232113
744331233361
oct11611767715
93341286280
101311240141
11613185142
1230716b639
1317b872153
14c62092a1
157a1b08e6
hex4e27efcd

1311240141 has 48 divisors (see below), whose sum is σ = 2141043840. Its totient is φ = 768337920.

The previous prime is 1311240127. The next prime is 1311240157. The reversal of 1311240141 is 1410421131.

It is not a de Polignac number, because 1311240141 - 223 = 1302851533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311240241) 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, 203221 + ... + 209573.

It is an arithmetic number, because the mean of its divisors is an integer number (44605080).

Almost surely, 21311240141 is an apocalyptic number.

It is an amenable number.

1311240141 is a deficient number, since it is larger than the sum of its proper divisors (829803699).

1311240141 is a wasteful number, since it uses less digits than its factorization.

1311240141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6466 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1311240141 is about 36211.0499847767. The cubic root of 1311240141 is about 1094.5293504975.

Adding to 1311240141 its reverse (1410421131), we get a palindrome (2721661272).

The spelling of 1311240141 in words is "one billion, three hundred eleven million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 17 19 51 57 71 153 171 213 323 639 969 1207 1349 2907 3621 4047 6353 10863 12141 19059 22933 57177 68799 108001 120707 206397 324003 362121 451063 972009 1086363 1353189 2052019 4059567 6156057 7668071 8570197 18468171 23004213 25710591 69012639 77131773 145693349 437080047 1311240141