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210041324240100 = 223522343370302013
BaseRepresentation
bin101111110000100000001110…
…100001001111110011100100
31000112200202101000201012210220
4233300200032201033303210
5210012304113001140400
62022415352520244340
762145661551142203
oct5760401641176344
91015622330635726
10210041324240100
1160a20030849611
121b6834ba6106b0
139027a72940c82
1439c20a915123a
1519439cbd967a0
hexbf080e84fce4

210041324240100 has 144 divisors (see below), whose sum is σ = 635606695151232. Its totient is φ = 53452025763840.

The previous prime is 210041324240071. The next prime is 210041324240117. The reversal of 210041324240100 is 1042423140012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32163307 + ... + 38138706.

Almost surely, 2210041324240100 is an apocalyptic number.

210041324240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210041324240100 is an abundant number, since it is smaller than the sum of its proper divisors (425565370911132).

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

210041324240100 is a wasteful number, since it uses less digits than its factorization.

210041324240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70302486 (or 70302479 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 210041324240100 its reverse (1042423140012), we get a palindrome (211083747380112).

The spelling of 210041324240100 in words is "two hundred ten trillion, forty-one billion, three hundred twenty-four million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 433 460 575 690 866 1150 1299 1380 1725 1732 2165 2300 2598 3450 4330 5196 6495 6900 8660 9959 10825 12990 19918 21650 25980 29877 32475 39836 43300 49795 59754 64950 99590 119508 129900 149385 199180 248975 298770 497950 597540 746925 995900 1493850 2987700 70302013 140604026 210906039 281208052 351510065 421812078 703020130 843624156 1054530195 1406040260 1616946299 1757550325 2109060390 3233892598 3515100650 4218120780 4850838897 5272650975 6467785196 7030201300 8084731495 9701677794 10545301950 16169462990 19403355588 21090603900 24254194485 30440771629 32338925980 40423657475 48508388970 60881543258 80847314950 91322314887 97016777940 121270972425 121763086516 152203858145 161694629900 182644629774 242541944850 304407716290 365289259548 456611574435 485083889700 608815432580 700137747467 761019290725 913223148870 1400275494934 1522038581450 1826446297740 2100413242401 2283057872175 2800550989868 3044077162900 3500688737335 4200826484802 4566115744350 7001377474670 8401652969604 9132231488700 10502066212005 14002754949340 17503443686675 21004132424010 35006887373350 42008264848020 52510331060025 70013774746700 105020662120050 210041324240100