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130441014213000 = 23353311139808161
BaseRepresentation
bin11101101010001010101010…
…010100001111100110001000
3122002212001001120001112221120
4131222022222110033212020
5114044121144114304000
61141231435155035240
736322023634521501
oct3552125224174610
9562761046045846
10130441014213000
11386207a5a29927
121276841389bb20
1357a26c511b2ca
14242d5434d9ba8
15101310ba166a0
hex76a2aa50f988

130441014213000 has 128 divisors (see below), whose sum is σ = 408284571651840. Its totient is φ = 34672423680000.

The previous prime is 130441014212911. The next prime is 130441014213031. The reversal of 130441014213000 is 312410144031.

130441014213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 68971081 + ... + 70837080.

It is an arithmetic number, because the mean of its divisors is an integer number (3189723216030).

Almost surely, 2130441014213000 is an apocalyptic number.

130441014213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441014213000 is an abundant number, since it is smaller than the sum of its proper divisors (277843557438840).

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

130441014213000 is a wasteful number, since it uses less digits than its factorization.

130441014213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139808496 (or 139808482 counting only the distinct ones).

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

Adding to 130441014213000 its reverse (312410144031), we get a palindrome (130753424357031).

The spelling of 130441014213000 in words is "one hundred thirty trillion, four hundred forty-one billion, fourteen million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 311 375 500 600 622 750 933 1000 1244 1500 1555 1866 2488 3000 3110 3732 4665 6220 7464 7775 9330 12440 15550 18660 23325 31100 37320 38875 46650 62200 77750 93300 116625 155500 186600 233250 311000 466500 933000 139808161 279616322 419424483 559232644 699040805 838848966 1118465288 1398081610 1677697932 2097122415 2796163220 3355395864 3495204025 4194244830 5592326440 6990408050 8388489660 10485612075 13980816100 16776979320 17476020125 20971224150 27961632200 34952040250 41942448300 43480338071 52428060375 69904080500 83884896600 86960676142 104856120750 130441014213 139808161000 173921352284 209712241500 217401690355 260882028426 347842704568 419424483000 434803380710 521764056852 652205071065 869606761420 1043528113704 1087008451775 1304410142130 1739213522840 2174016903550 2608820284260 3261025355325 4348033807100 5217640568520 5435042258875 6522050710650 8696067614200 10870084517750 13044101421300 16305126776625 21740169035500 26088202842600 32610253553250 43480338071000 65220507106500 130441014213000