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10001300310300 = 22352138330896819
BaseRepresentation
bin1001000110001001101111…
…1100111100100100011100
31022102010002210222212020010
42101202123330330210130
52302330130334412200
633134311155123220
72051366354656365
oct221423374744434
938363083885203
1010001300310300
113206589323432
12115639b2a3510
135771706717c0
142680cbad0b6c
15125254195150
hex9189bf3c91c

10001300310300 has 144 divisors (see below), whose sum is σ = 31538485157760. Its totient is φ = 2432197512960.

The previous prime is 10001300310299. The next prime is 10001300310311. The reversal of 10001300310300 is 301300310001.

10001300310300 is digitally balanced in base 2, 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15124710 + ... + 15772109.

It is an arithmetic number, because the mean of its divisors is an integer number (219017258040).

Almost surely, 210001300310300 is an apocalyptic number.

10001300310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001300310300 is an abundant number, since it is smaller than the sum of its proper divisors (21537184847460).

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

10001300310300 is a wasteful number, since it uses less digits than its factorization.

10001300310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30896932 (or 30896925 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10001300310300 its reverse (301300310001), we get a palindrome (10302600620301).

The spelling of 10001300310300 in words is "ten trillion, one billion, three hundred million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 83 100 130 150 156 166 195 249 260 300 325 332 390 415 498 650 780 830 975 996 1079 1245 1300 1660 1950 2075 2158 2490 3237 3900 4150 4316 4980 5395 6225 6474 8300 10790 12450 12948 16185 21580 24900 26975 32370 53950 64740 80925 107900 161850 323700 30896819 61793638 92690457 123587276 154484095 185380914 308968190 370761828 401658647 463452285 617936380 772420475 803317294 926904570 1204975941 1544840950 1606634588 1853809140 2008293235 2317261425 2409951882 2564435977 3089681900 4016586470 4634522850 4819903764 5128871954 6024879705 7693307931 8033172940 9269045700 10041466175 10257743908 12049759410 12822179885 15386615862 20082932350 24099518820 25644359770 30124398525 30773231724 33337667701 38466539655 40165864700 51288719540 60248797050 64110899425 66675335402 76933079310 100013003103 120497594100 128221798850 133350670804 153866158620 166688338505 192332698275 200026006206 256443597700 333376677010 384665396550 400052012412 500065015515 666753354020 769330793100 833441692525 1000130031030 1666883385050 2000260062060 2500325077575 3333766770100 5000650155150 10001300310300