Search a number
-
+
20343014330310 = 23257152039212383
BaseRepresentation
bin1001010000000011110100…
…01001001000111111000110
32200000202212122102220201200
410220001322021020333012
510131244443132032220
6111133241325403330
74166506600514130
oct450017211107706
980022778386650
1020343014330310
116533473280351
122346742409546
13b47451825ca9
14504870024050
1525427d9a1890
hex12807a248fc6

20343014330310 has 96 divisors (see below), whose sum is σ = 60448496209920. Its totient is φ = 4649779370304.

The previous prime is 20343014330299. The next prime is 20343014330323. The reversal of 20343014330310 is 1303341034302.

20343014330310 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 3 + 0 + 14 + 330 + 310 = 666.

It is a super-2 number, since 2×203430143303102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95678379 + ... + 95890761.

It is an arithmetic number, because the mean of its divisors is an integer number (629671835520).

Almost surely, 220343014330310 is an apocalyptic number.

20343014330310 is an abundant number, since it is smaller than the sum of its proper divisors (40105481879610).

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

20343014330310 is a wasteful number, since it uses less digits than its factorization.

20343014330310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364442 (or 364439 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20343014330310 its reverse (1303341034302), we get a palindrome (21646355364612).

The spelling of 20343014330310 in words is "twenty trillion, three hundred forty-three billion, fourteen million, three hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 152039 212383 304078 424766 456117 637149 760195 912234 1061915 1064273 1274298 1368351 1486681 1520390 1911447 2123830 2128546 2280585 2736702 2973362 3185745 3192819 3822894 4460043 4561170 5321365 6371490 6385638 6841755 7433405 8920086 9557235 9578457 10642730 13380129 13683510 14866810 15964095 19114470 19156914 22300215 26760258 31928190 44600430 47892285 66900645 95784570 133801290 32290498937 64580997874 96871496811 161452494685 193742993622 226033492559 290614490433 322904989370 452066985118 484357484055 581228980866 678100477677 968714968110 1130167462795 1356200955354 1453072452165 2034301433031 2260334925590 2906144904330 3390502388385 4068602866062 6781004776770 10171507165155 20343014330310