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20013310023330 = 23513791073360521
BaseRepresentation
bin1001000110011101101100…
…01111000001011010100010
32121212020211222121202011210
410203032312033001122202
510110344224331221310
6110321553202050550
74133625323243421
oct443166617013242
977766758552153
1020013310023330
116416662842618
1222b2869049a56
13b223299828a0
144d2913c492b8
1524a8d3626820
hex1233b63c16a2

20013310023330 has 128 divisors (see below), whose sum is σ = 52387223454720. Its totient is φ = 4863460792320.

The previous prime is 20013310023271. The next prime is 20013310023331. The reversal of 20013310023330 is 3332001331002.

It is a junction number, because it is equal to n+sod(n) for n = 20013310023297 and 20013310023306.

It is not an unprimeable number, because it can be changed into a prime (20013310023331) 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, 330653470 + ... + 330713990.

It is an arithmetic number, because the mean of its divisors is an integer number (409275183240).

Almost surely, 220013310023330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013310023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26193611727360).

20013310023330 is an abundant number, since it is smaller than the sum of its proper divisors (32373913431390).

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

20013310023330 is a wasteful number, since it uses less digits than its factorization.

20013310023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71356.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20013310023330 its reverse (3332001331002), we get a palindrome (23345311354332).

The spelling of 20013310023330 in words is "twenty trillion, thirteen billion, three hundred ten million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 237 390 395 474 790 1027 1185 2054 2370 3081 5135 6162 10270 10733 15405 21466 30810 32199 53665 60521 64398 107330 121042 139529 160995 181563 279058 302605 321990 363126 418587 605210 697645 786773 837174 847907 907815 1395290 1573546 1695814 1815630 2092935 2360319 2543721 3933865 4185870 4239535 4720638 4781159 5087442 7867730 8479070 9562318 11022791 11801595 12718605 14343477 22045582 23603190 23905795 25437210 28686954 33068373 47811590 55113955 62155067 66136746 71717385 110227910 124310134 143434770 165341865 186465201 310775335 330683730 372930402 621550670 649571893 932326005 1299143786 1864652010 1948715679 3247859465 3897431358 6495718930 8444434609 9743578395 16888869218 19487156790 25333303827 42222173045 50666607654 51316179547 84444346090 102632359094 126666519135 153948538641 253333038270 256580897735 307897077282 513161795470 667110334111 769742693205 1334220668222 1539485386410 2001331002333 3335551670555 4002662004666 6671103341110 10006655011665 20013310023330