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131020201244400 = 24352138398730849
BaseRepresentation
bin11101110010100110000100…
…100011011011011011110000
3122011220102001002122020220220
4131302212010203123123300
5114133113333004310100
61142353503255133040
736411616504203666
oct3562460443333360
9564812032566826
10131020201244400
113882439aa05026
1212840714374180
1358151c8b2a180
14244d5a9514c36
15102320957daa0
hex7729848db6f0

131020201244400 has 120 divisors (see below), whose sum is σ = 451986099423600. Its totient is φ = 32251126456320.

The previous prime is 131020201244371. The next prime is 131020201244467. The reversal of 131020201244400 is 4442102020131.

131020201244400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4199349825 + ... + 4199381024.

It is an arithmetic number, because the mean of its divisors is an integer number (3766550828530).

Almost surely, 2131020201244400 is an apocalyptic number.

131020201244400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020201244400 is an abundant number, since it is smaller than the sum of its proper divisors (320965898179200).

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

131020201244400 is a wasteful number, since it uses less digits than its factorization.

131020201244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398730883 (or 8398730872 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131020201244400 its reverse (4442102020131), we get a palindrome (135462303264531).

The spelling of 131020201244400 in words is "one hundred thirty-one trillion, twenty billion, two hundred one million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 8398730849 16797461698 25196192547 33594923396 41993654245 50392385094 67189846792 83987308490 100784770188 109183501037 125980962735 134379693584 167974616980 201569540376 209968271225 218367002074 251961925470 327550503111 335949233960 403139080752 419936542450 436734004148 503923850940 545917505185 629904813675 655101006222 671898467920 839873084900 873468008296 1007847701880 1091835010370 1259809627350 1310202012444 1637752515555 1679746169800 1746936016592 2015695403760 2183670020740 2519619254700 2620404024888 2729587525925 3275505031110 3359492339600 4367340041480 5039238509400 5240808049776 5459175051850 6551010062220 8188762577775 8734680082960 10078477018800 10918350103700 13102020124440 16377525155550 21836700207400 26204040248880 32755050311100 43673400414800 65510100622200 131020201244400