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10301313223300 = 225211371223206953
BaseRepresentation
bin1001010111100111011000…
…0111011000101010000100
31100110210111020012221021111
42111321312013120222010
52322234042141121200
633524205153054404
72112150100443211
oct225716607305204
940423436187244
1010301313223300
11331184283a430
1211a4568b57404
13599543071b28
1427882c834b08
1512ce62a550ba
hex95e761d8a84

10301313223300 has 144 divisors (see below), whose sum is σ = 25065698942592. Its totient is φ = 3641692953600.

The previous prime is 10301313223219. The next prime is 10301313223309. The reversal of 10301313223300 is 332231310301.

It is a super-2 number, since 2×103013132233002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10301313223309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49672624 + ... + 49879576.

It is an arithmetic number, because the mean of its divisors is an integer number (174067353768).

Almost surely, 210301313223300 is an apocalyptic number.

10301313223300 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 10301313223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532849471296).

10301313223300 is an abundant number, since it is smaller than the sum of its proper divisors (14764385719292).

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

10301313223300 is a wasteful number, since it uses less digits than its factorization.

10301313223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208238 (or 208231 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10301313223300 its reverse (332231310301), we get a palindrome (10633544533601).

The spelling of 10301313223300 in words is "ten trillion, three hundred one billion, three hundred thirteen million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1223 1628 1850 2035 2446 3700 4070 4892 6115 8140 10175 12230 13453 20350 24460 26906 30575 40700 45251 53812 61150 67265 90502 122300 134530 181004 206953 226255 269060 336325 413906 452510 497761 672650 827812 905020 995522 1034765 1131275 1345300 1991044 2069530 2262550 2276483 2488805 4139060 4525100 4552966 4977610 5173825 7657261 9105932 9955220 10347650 11382415 12444025 15314522 20695300 22764830 24888050 30629044 38286305 45529660 49776100 56912075 76572610 84229871 113824150 153145220 168459742 191431525 227648300 253103519 336919484 382863050 421149355 506207038 765726100 842298710 1012414076 1265517595 1684597420 2105746775 2531035190 2784138709 4211493550 5062070380 5568277418 6327587975 8422987100 9364830203 11136554836 12655175950 13920693545 18729660406 25310351900 27841387090 37459320812 46824151015 55682774180 69603467725 93648302030 103013132233 139206935450 187296604060 206026264466 234120755075 278413870900 412052528932 468241510150 515065661165 936483020300 1030131322330 2060262644660 2575328305825 5150656611650 10301313223300