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131123120244 = 2232341103111239
BaseRepresentation
bin111101000011110001…
…1000000100001110100
3110112110012021122221220
41322013203000201310
54122020004321434
6140123115310340
712321232063254
oct1720743004164
9415405248856
10131123120244
1150677645a86
12214b4a4b3b0
13c49878bc1c
1464bc705964
153626764d49
hex1e878c0874

131123120244 has 96 divisors (see below), whose sum is σ = 327389368320. Its totient is φ = 40744492800.

The previous prime is 131123120243. The next prime is 131123120269. The reversal of 131123120244 is 442021321131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123120243) 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, 11661177 + ... + 11672415.

It is an arithmetic number, because the mean of its divisors is an integer number (3410305920).

Almost surely, 2131123120244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123120244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163694684160).

131123120244 is an abundant number, since it is smaller than the sum of its proper divisors (196266248076).

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

131123120244 is a wasteful number, since it uses less digits than its factorization.

131123120244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131123120244 its reverse (442021321131), we get a palindrome (573144441375).

The spelling of 131123120244 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1031 1886 2062 2829 3093 3772 4124 5658 6186 11239 11316 12372 22478 23713 33717 42271 44956 47426 67434 71139 84542 94852 126813 134868 142278 169084 253626 258497 284556 460799 507252 516994 775491 921598 972233 1033988 1382397 1550982 1843196 1944466 2764794 2916699 3101964 3888932 5529588 5833398 10598377 11587409 11666796 21196754 23174818 31795131 34762227 42393508 46349636 63590262 69524454 127180524 139048908 266510407 475083769 533020814 799531221 950167538 1066041628 1425251307 1599062442 1900335076 2850502614 3198124884 5701005228 10926926687 21853853374 32780780061 43707706748 65561560122 131123120244