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20213331300 = 2234522495473
BaseRepresentation
bin10010110100110011…
…101111010101100100
31221011200221121210000
4102310303233111210
5312344103100200
613141425501300
71313622324021
oct226463572544
957150847700
1020213331300
118632997a88
123b014a1830
131ba194bb86
14d9a778548
157d485a300
hex4b4cef564

20213331300 has 90 divisors (see below), whose sum is σ = 65523660818. Its totient is φ = 5390219520.

The previous prime is 20213331269. The next prime is 20213331337. The reversal of 20213331300 is 313331202.

20213331300 is a `hidden beast` number, since 20 + 2 + 13 + 331 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 313714944 + 19899616356 = 17712^2 + 141066^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 1239637 + ... + 1255836.

Almost surely, 220213331300 is an apocalyptic number.

20213331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213331300 is an abundant number, since it is smaller than the sum of its proper divisors (45310329518).

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

20213331300 is a wasteful number, since it uses less digits than its factorization.

20213331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495499 (or 2495483 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20213331300 its reverse (313331202), we get a palindrome (20526662502).

The spelling of 20213331300 in words is "twenty billion, two hundred thirteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2495473 4990946 7486419 9981892 12477365 14972838 22459257 24954730 29945676 37432095 44918514 49909460 62386825 67377771 74864190 89837028 112296285 124773650 134755542 149728380 187160475 202133313 224592570 249547300 269511084 336888855 374320950 404266626 449185140 561481425 673777710 748641900 808533252 1010666565 1122962850 1347555420 1684444275 2021333130 2245925700 3368888550 4042666260 5053332825 6737777100 10106665650 20213331300