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131121011310 = 23589253119403
BaseRepresentation
bin111101000011101101…
…0111101101001101110
3110112110001022112001020
41322013122331221232
54122013434330220
6140123002155010
712321205130622
oct1720732755156
9415401275036
10131121011310
1150676435563
12214b41b2a66
13c498201033
1464bc317182
15362649a040
hex1e876bda6e

131121011310 has 64 divisors (see below), whose sum is σ = 318368413440. Its totient is φ = 34557290240.

The previous prime is 131121011269. The next prime is 131121011311. The reversal of 131121011310 is 13110121131.

It is a super-2 number, since 2×1311210113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131121011310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6748069 + ... + 6767471.

It is an arithmetic number, because the mean of its divisors is an integer number (4974506460).

Almost surely, 2131121011310 is an apocalyptic number.

131121011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131121011310 is an abundant number, since it is smaller than the sum of its proper divisors (187247402130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131121011310 is a wasteful number, since it uses less digits than its factorization.

131121011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22033.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131121011310 its reverse (13110121131), we get a palindrome (144231132441).

The spelling of 131121011310 in words is "one hundred thirty-one billion, one hundred twenty-one million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 89 178 267 445 534 890 1335 2531 2670 5062 7593 12655 15186 19403 25310 37965 38806 58209 75930 97015 116418 194030 225259 291045 450518 582090 675777 1126295 1351554 1726867 2252590 3378885 3453734 5180601 6757770 8634335 10361202 17268670 25903005 49108993 51806010 98217986 147326979 245544965 294653958 491089930 736634895 1473269790 4370700377 8741400754 13112101131 21853501885 26224202262 43707003770 65560505655 131121011310