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13242403300 = 22527173135897
BaseRepresentation
bin11000101010100111…
…10000100111100100
31021011212220210021111
430111103300213210
5204110023401200
610030010354404
7646105366540
oct142523604744
937155823244
1013242403300
115685a9a665
122696a2ba04
1313306846c9
148d8a28a20
155278850ba
hex3154f09e4

13242403300 has 144 divisors (see below), whose sum is σ = 35895702528. Its totient is φ = 4135219200.

The previous prime is 13242403297. The next prime is 13242403357. The reversal of 13242403300 is 330424231.

It is a happy number.

It is a super-2 number, since 2×132424033002 (a number of 21 digits) contains 22 as substring.

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, 350952 + ... + 386848.

It is an arithmetic number, because the mean of its divisors is an integer number (249275712).

Almost surely, 213242403300 is an apocalyptic number.

13242403300 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 13242403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947851264).

13242403300 is an abundant number, since it is smaller than the sum of its proper divisors (22653299228).

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

13242403300 is a wasteful number, since it uses less digits than its factorization.

13242403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35966 (or 35959 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13242403300 its reverse (330424231), we get a palindrome (13572827531).

The spelling of 13242403300 in words is "thirteen billion, two hundred forty-two million, four hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 31 34 35 50 62 68 70 85 100 119 124 140 155 170 175 217 238 310 340 350 425 434 476 527 595 620 700 775 850 868 1054 1085 1190 1550 1700 2108 2170 2380 2635 2975 3100 3689 4340 5270 5425 5950 7378 10540 10850 11900 13175 14756 18445 21700 26350 35897 36890 52700 71794 73780 92225 143588 179485 184450 251279 358970 368900 502558 610249 717940 897425 1005116 1112807 1220498 1256395 1794850 2225614 2440996 2512790 3051245 3589700 4271743 4451228 5025580 5564035 6102490 6281975 7789649 8543486 11128070 12204980 12563950 15256225 15579298 17086972 18917719 21358715 22256140 25127900 27820175 30512450 31158596 37835438 38948245 42717430 55640350 61024900 75670876 77896490 85434860 94588595 106793575 111280700 132424033 155792980 189177190 194741225 213587150 264848066 378354380 389482450 427174300 472942975 529696132 662120165 778964900 945885950 1324240330 1891771900 2648480660 3310600825 6621201650 13242403300