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130203350203344 = 243117126912911527
BaseRepresentation
bin11101100110101101010100…
…011011111111101111010000
3122002000022121100021221021120
4131212231110123333233100
5114031222430123001334
61140530332054322240
736265611253003245
oct3546552433775720
9562008540257246
10130203350203344
1138539a26882820
121272a346659380
13578617a9b34b2
142421c391a75cc
15100bd4bbda949
hex766b546ffbd0

130203350203344 has 160 divisors (see below), whose sum is σ = 373488155228160. Its totient is φ = 38755236441600.

The previous prime is 130203350203309. The next prime is 130203350203363. The reversal of 130203350203344 is 443302053302031.

It is a super-2 number, since 2×1302033502033442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3628509 + ... + 16540035.

It is an arithmetic number, because the mean of its divisors is an integer number (2334300970176).

Almost surely, 2130203350203344 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 130203350203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186744077614080).

130203350203344 is an abundant number, since it is smaller than the sum of its proper divisors (243284805024816).

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

130203350203344 is a wasteful number, since it uses less digits than its factorization.

130203350203344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12911889 (or 12911883 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

The spelling of 130203350203344 in words is "one hundred thirty trillion, two hundred three billion, three hundred fifty million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 269 284 426 528 538 568 781 807 852 1076 1136 1562 1614 1704 2152 2343 2959 3124 3228 3408 4304 4686 5918 6248 6456 8877 9372 11836 12496 12912 17754 18744 19099 23672 35508 37488 38198 47344 57297 71016 76396 114594 142032 152792 210089 229188 305584 420178 458376 630267 840356 916752 1260534 1680712 2521068 3361424 5042136 10084272 12911527 25823054 38734581 51646108 77469162 103292216 142026797 154938324 206584432 284053594 309876648 426080391 568107188 619753296 852160782 916718417 1136214376 1704321564 1833436834 2272428752 2750155251 3408643128 3473200763 3666873668 5500310502 6817286256 6946401526 7333747336 10083902587 10419602289 11000621004 13892803052 14667494672 20167805174 20839204578 22001242008 27785606104 30251707761 38205208393 40335610348 41678409156 44002484016 55571212208 60503415522 76410416786 80671220696 83356818312 114615625179 121006831044 152820833572 161342441392 166713636624 229231250358 242013662088 246597254173 305641667144 458462500716 484027324176 493194508346 611283334288 739791762519 916925001432 986389016692 1479583525038 1833850002864 1972778033384 2712569795903 2959167050076 3945556066768 5425139591806 5918334100152 8137709387709 10850279183612 11836668200304 16275418775418 21700558367224 32550837550836 43401116734448 65101675101672 130203350203344