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20312333311400 = 23521329269394341
BaseRepresentation
bin1001001111001010101010…
…11010010101110110101000
32122220211200102200200000222
410213211111122111312220
510130244124311431100
6111111205044545212
74164342361250324
oct447452532256650
978824612620028
1020312333311400
116521459681779
1223407bb3b2208
13b445a2339230
1450319d382984
152535851a4485
hex127955695da8

20312333311400 has 96 divisors (see below), whose sum is σ = 52612714992600. Its totient is φ = 7241319859200.

The previous prime is 20312333311379. The next prime is 20312333311463. The reversal of 20312333311400 is 411333321302.

It can be written as a sum of positive squares in 12 ways, for example, as 18263360164 + 20294069951236 = 135142^2 + 4504894^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20312333311400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134621771 + ... + 134772570.

Almost surely, 220312333311400 is an apocalyptic number.

20312333311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312333311400 is an abundant number, since it is smaller than the sum of its proper divisors (32300381681200).

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

20312333311400 is a wasteful number, since it uses less digits than its factorization.

20312333311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269394399 (or 269394390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 20312333311400 its reverse (411333321302), we get a palindrome (20723666632702).

The spelling of 20312333311400 in words is "twenty trillion, three hundred twelve billion, three hundred thirty-three million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 269394341 538788682 1077577364 1346971705 2155154728 2693943410 3502126433 5387886820 6734858525 7004252866 7812435889 10775773640 13469717050 14008505732 15624871778 17510632165 26939434100 28017011464 31249743556 35021264330 39062179445 53878868200 62499487112 70042528660 78124358890 87553160825 101561666557 140085057320 156248717780 175106321650 195310897225 203123333114 312497435560 350212643300 390621794450 406246666228 507808332785 700425286600 781243588900 812493332456 1015616665570 1562487177800 2031233331140 2539041663925 4062466662280 5078083327850 10156166655700 20312333311400