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20313204020032 = 2671136313113513
BaseRepresentation
bin1001001111001100010010…
…10011110101001101000000
32122220220221010002020201211
410213212021103311031000
510130302420212120112
6111111431311135504
74164403063201420
oct447461123651500
978826833066654
1020313204020032
116521866117a90
122340a02b14594
13b446b0848341
14503242c76480
152535d68470a7
hex1279894f5340

20313204020032 has 112 divisors (see below), whose sum is σ = 50257221052032. Its totient is φ = 7913947668480.

The previous prime is 20313204020009. The next prime is 20313204020033. The reversal of 20313204020032 is 23002040231302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20313204019985 and 20313204020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313204020033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178893708 + ... + 179007220.

Almost surely, 220313204020032 is an apocalyptic number.

20313204020032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20313204020032 is an abundant number, since it is smaller than the sum of its proper divisors (29944017032000).

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

20313204020032 is a wasteful number, since it uses less digits than its factorization.

20313204020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149856 (or 149846 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20313204020032 its reverse (23002040231302), we get a palindrome (43315244251334).

The spelling of 20313204020032 in words is "twenty trillion, three hundred thirteen billion, two hundred four million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 36313 72626 113513 145252 227026 254191 290504 399443 454052 508382 581008 794591 798886 908104 1016764 1162016 1248643 1589182 1597772 1816208 2033528 2324032 2497286 2796101 3178364 3195544 3632416 4067056 4994572 5592202 6356728 6391088 7264832 8134112 8740501 9989144 11184404 12713456 12782176 16268224 17481002 19978288 22368808 25426912 25564352 34962004 39956576 44737616 50853824 69924008 79913152 89475232 139848016 178950464 279696032 559392064 4121997569 8243995138 16487990276 28853982983 32975980552 45341973259 57707965966 65951961104 90683946518 115415931932 131903922208 181367893036 230831863864 263807844416 317393812813 362735786072 461663727728 634787625626 725471572144 923327455456 1269575251252 1450943144288 1846654910912 2539150502504 2901886288576 5078301005008 10156602010016 20313204020032