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232121340002010 = 235411277817190093
BaseRepresentation
bin110100110001110011110110…
…000000111111111011011010
31010102212120202021210102201010
4310301303312000333323122
5220411034001020031020
62141403023235034350
766615133123351644
oct6461636600777332
91112776667712633
10232121340002010
1167a63120049688
122204a80713b9b6
139c69c4394c244
144146a38b3b894
151bc801e78dde0
hexd31cf603feda

232121340002010 has 128 divisors (see below), whose sum is σ = 575248946356224. Its totient is φ = 59905805783040.

The previous prime is 232121340002009. The next prime is 232121340002011. The reversal of 232121340002010 is 10200043121232.

It is an interprime number because it is at equal distance from previous prime (232121340002009) and next prime (232121340002011).

It is not an unprimeable number, because it can be changed into a prime (232121340002011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1220998524 + ... + 1221188616.

It is an arithmetic number, because the mean of its divisors is an integer number (4494132393408).

Almost surely, 2232121340002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232121340002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287624473178112).

232121340002010 is an abundant number, since it is smaller than the sum of its proper divisors (343127606354214).

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

232121340002010 is a wasteful number, since it uses less digits than its factorization.

232121340002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198088.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 232121340002010 its reverse (10200043121232), we get a palindrome (242321383123242).

The spelling of 232121340002010 in words is "two hundred thirty-two trillion, one hundred twenty-one billion, three hundred forty million, two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 127 205 246 254 381 410 615 635 762 1230 1270 1905 3810 5207 7817 10414 15621 15634 23451 26035 31242 39085 46902 52070 78105 78170 117255 156210 190093 234510 320497 380186 570279 640994 950465 961491 992759 1140558 1602485 1900930 1922982 1985518 2851395 2978277 3204970 4807455 4963795 5702790 5956554 7793813 9614910 9927590 14891385 15587626 23381439 24141811 29782770 38969065 40703119 46762878 48283622 72425433 77938130 81406238 116907195 120709055 122109357 144850866 203515595 233814390 241418110 244218714 362127165 407031190 610546785 724254330 989814251 1221093570 1485956981 1979628502 2969442753 2971913962 4457870943 4949071255 5938885506 7429784905 8915741886 9898142510 14847213765 14859569810 22289354715 29694427530 44578709430 60924236221 121848472442 182772708663 188716536587 304621181105 365545417326 377433073174 566149609761 609242362210 913863543315 943582682935 1132299219522 1827727086630 1887165365870 2830748048805 5661496097610 7737378000067 15474756000134 23212134000201 38686890000335 46424268000402 77373780000670 116060670001005 232121340002010