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20231314031320 = 23571740910391873
BaseRepresentation
bin1001001100110011110000…
…10010010100001011011000
32122122002120001121210121221
410212121320102110023120
510122432212343000240
6111010045400341424
74155443551604560
oct446317022241330
978562501553557
1020231314031320
1164a0063383467
122328b6a174874
13b39a5cca6712
144dd2b50bbda0
152513e2496a4a
hex1266784942d8

20231314031320 has 128 divisors (see below), whose sum is σ = 55218261686400. Its totient is φ = 6512461479936.

The previous prime is 20231314031311. The next prime is 20231314031323. The reversal of 20231314031320 is 2313041313202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231314031323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3249097 + ... + 7142776.

It is an arithmetic number, because the mean of its divisors is an integer number (431392669425).

Almost surely, 220231314031320 is an apocalyptic number.

20231314031320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231314031320 is an abundant number, since it is smaller than the sum of its proper divisors (34986947655080).

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

20231314031320 is a wasteful number, since it uses less digits than its factorization.

20231314031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392317 (or 10392313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 20231314031320 its reverse (2313041313202), we get a palindrome (22544355344522).

The spelling of 20231314031320 in words is "twenty trillion, two hundred thirty-one billion, three hundred fourteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 409 476 595 680 818 952 1190 1636 2045 2380 2863 3272 4090 4760 5726 6953 8180 11452 13906 14315 16360 22904 27812 28630 34765 48671 55624 57260 69530 97342 114520 139060 194684 243355 278120 389368 486710 973420 1946840 10391873 20783746 41567492 51959365 72743111 83134984 103918730 145486222 176661841 207837460 290972444 353323682 363715555 415674920 581944888 706647364 727431110 883309205 1236632887 1413294728 1454862220 1766618410 2473265774 2909724440 3533236820 4250276057 4946531548 6183164435 7066473640 8500552114 9893063096 12366328870 17001104228 21251380285 24732657740 29751932399 34002208456 42502760570 49465315480 59503864798 72254692969 85005521140 119007729596 144509385938 148759661995 170011042280 238015459192 289018771876 297519323990 361273464845 505782850783 578037543752 595038647980 722546929690 1011565701566 1190077295960 1445093859380 2023131403132 2528914253915 2890187718760 4046262806264 5057828507830 10115657015660 20231314031320