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20210414300 = 22521734333463
BaseRepresentation
bin10010110100101000…
…100111001011011100
31221011111110102101222
4102310220213023130
5312342331224200
613141243152512
71313555454446
oct226450471334
957144412358
1020210414300
11863128543a
123b00515738
131ba116a23b
14d9a219496
157d4480d85
hex4b4a272dc

20210414300 has 72 divisors (see below), whose sum is σ = 46463338656. Its totient is φ = 7604213760.

The previous prime is 20210414293. The next prime is 20210414303. The reversal of 20210414300 is 341401202.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210414303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5834369 + ... + 5837831.

It is an arithmetic number, because the mean of its divisors is an integer number (645324148).

Almost surely, 220210414300 is an apocalyptic number.

20210414300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23231669328).

20210414300 is an abundant number, since it is smaller than the sum of its proper divisors (26252924356).

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

20210414300 is a wasteful number, since it uses less digits than its factorization.

20210414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20210414300 its reverse (341401202), we get a palindrome (20551815502).

The spelling of 20210414300 in words is "twenty billion, two hundred ten million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 3433 3463 6866 6926 13732 13852 17165 17315 34330 34630 58361 58871 68660 69260 85825 86575 116722 117742 171650 173150 233444 235484 291805 294355 343300 346300 583610 588710 1167220 1177420 1459025 1471775 2918050 2943550 5836100 5887100 11888479 23776958 47553916 59442395 118884790 202104143 237769580 297211975 404208286 594423950 808416572 1010520715 1188847900 2021041430 4042082860 5052603575 10105207150 20210414300