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130441321133240 = 235132334332486383
BaseRepresentation
bin11101101010001010111100…
…100111000011010010111000
3122002212001211221120201100212
4131222022330213003102320
5114044122311202230430
61141231525441250252
736322034352352625
oct3552127447032270
9562761757521325
10130441321133240
11386209431aa617
121276849a633988
1357a274389cc10
14242d57219134c
151013128940b95
hex76a2bc9c34b8

130441321133240 has 128 divisors (see below), whose sum is σ = 318159089015040. Its totient is φ = 47845468717056.

The previous prime is 130441321133183. The next prime is 130441321133293. The reversal of 130441321133240 is 42331123144031.

It is a junction number, because it is equal to n+sod(n) for n = 130441321133197 and 130441321133206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51219089 + ... + 53705471.

It is an arithmetic number, because the mean of its divisors is an integer number (2485617882930).

Almost surely, 2130441321133240 is an apocalyptic number.

130441321133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130441321133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159079544507520).

130441321133240 is an abundant number, since it is smaller than the sum of its proper divisors (187717767881800).

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

130441321133240 is a wasteful number, since it uses less digits than its factorization.

130441321133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487073 (or 2487069 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 130441321133240 its reverse (42331123144031), we get a palindrome (172772444277271).

The spelling of 130441321133240 in words is "one hundred thirty trillion, four hundred forty-one billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 433 466 520 866 932 1165 1732 1864 2165 2330 3029 3464 4330 4660 5629 6058 8660 9320 11258 12116 15145 17320 22516 24232 28145 30290 45032 56290 60580 100889 112580 121160 201778 225160 403556 504445 807112 1008890 1311557 2017780 2486383 2623114 4035560 4972766 5246228 6557785 9945532 10492456 12431915 13115570 19891064 24863830 26231140 32322979 49727660 52462280 64645958 99455320 129291916 161614895 258583832 323229790 579327239 646459580 1076603839 1158654478 1292919160 2153207678 2317308956 2896636195 4306415356 4634617912 5383019195 5793272390 7531254107 8612830712 10766038390 11586544780 13995849907 15062508214 21532076780 23173089560 27991699814 30125016428 37656270535 43064153560 55983399628 60250032856 69979249535 75312541070 111966799256 139958499070 150625082140 250848694487 279916998140 301250164280 501697388974 559833996280 1003394777948 1254243472435 2006789555896 2508486944870 3261033028331 5016973889740 6522066056662 10033947779480 13044132113324 16305165141655 26088264226648 32610330283310 65220660566620 130441321133240