Search a number
-
+
20313220232310 = 2354153367849047
BaseRepresentation
bin1001001111001100010100…
…10001101011010001110110
32122220220222020120220210120
410213212022101223101312
510130302433334413220
6111111433050432410
74164403351043505
oct447461221532166
978826866526716
1020313220232310
116521874290565
122340a08432706
13b446b40036c5
1450324509683c
152535d7e9aa40
hex12798a46b476

20313220232310 has 128 divisors (see below), whose sum is σ = 51021780332544. Its totient is φ = 5170893911040.

The previous prime is 20313220232293. The next prime is 20313220232339. The reversal of 20313220232310 is 1323202231302.

It is a super-2 number, since 2×203132202323102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23500207 + ... + 24349253.

It is an arithmetic number, because the mean of its divisors is an integer number (398607658848).

Almost surely, 220313220232310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313220232310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25510890166272).

20313220232310 is an abundant number, since it is smaller than the sum of its proper divisors (30708560100234).

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

20313220232310 is a wasteful number, since it uses less digits than its factorization.

20313220232310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849518.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20313220232310 its reverse (1323202231302), we get a palindrome (21636422463612).

The spelling of 20313220232310 in words is "twenty trillion, three hundred thirteen billion, two hundred twenty million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 53 82 106 123 159 205 246 265 318 367 410 530 615 734 795 1101 1230 1590 1835 2173 2202 3670 4346 5505 6519 10865 11010 13038 15047 19451 21730 30094 32595 38902 45141 58353 65190 75235 90282 97255 116706 150470 194510 225705 291765 451410 583530 797491 849047 1594982 1698094 2392473 2547141 3987455 4245235 4784946 5094282 7974910 8490470 11962365 12735705 23924730 25471410 34810927 44999491 69621854 89998982 104432781 134998473 174054635 208865562 224997455 269996946 311600249 348109270 449994910 522163905 623200498 674992365 934800747 1044327810 1349984730 1558001245 1844979131 1869601494 3116002490 3689958262 4674003735 5534937393 9224895655 9348007470 11069874786 12775610209 16514813197 18449791310 25551220418 27674686965 33029626394 38326830627 49544439591 55349373930 63878051045 76653661254 82574065985 99088879182 127756102090 165148131970 191634153135 247722197955 383268306270 495444395910 677107341077 1354214682154 2031322023231 3385536705385 4062644046462 6771073410770 10156610116155 20313220232310