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131123315145 = 351710149110369
BaseRepresentation
bin111101000011110001…
…1110000000111001001
3110112110012122120022110
41322013203300013021
54122020032041040
6140123123412533
712321233534424
oct1720743600711
9415405576273
10131123315145
1150677769459
12214b4b24149
13c498829854
1464bc7569bb
1536267a2980
hex1e878f01c9

131123315145 has 64 divisors (see below), whose sum is σ = 224816290560. Its totient is φ = 65028096000.

The previous prime is 131123315137. The next prime is 131123315149. The reversal of 131123315145 is 541513321131.

It is not a de Polignac number, because 131123315145 - 23 = 131123315137 is a prime.

It is a super-3 number, since 3×1311233151453 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131123315149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12640521 + ... + 12650889.

It is an arithmetic number, because the mean of its divisors is an integer number (3512754540).

Almost surely, 2131123315145 is an apocalyptic number.

131123315145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131123315145 is a deficient number, since it is larger than the sum of its proper divisors (93692975415).

131123315145 is a wasteful number, since it uses less digits than its factorization.

131123315145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10986.

The product of its digits is 5400, while the sum is 30.

Adding to 131123315145 its reverse (541513321131), we get a palindrome (672636636276).

The spelling of 131123315145 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 51 85 101 255 303 491 505 1473 1515 1717 2455 5151 7365 8347 8585 10369 25041 25755 31107 41735 49591 51845 125205 148773 155535 176273 247955 528819 743865 843047 881365 1047269 2529141 2644095 3141807 4215235 5091179 5236345 12645705 15273537 15709035 17803573 25455895 53410719 76367685 86550043 89017865 259650129 267053595 432750215 514209079 1298250645 1542627237 2571045395 7713136185 8741554343 26224663029 43707771715 131123315145