Search a number
-
+
2021100400 = 245211459341
BaseRepresentation
bin111100001110111…
…1000101101110000
312012212001112112101
41320131320231300
513114400203100
6532315110144
7101041032664
oct17035705560
95185045471
102021100400
11947949710
12484a42354
132629545c7
141525cc8a4
15bc67e86a
hex78778b70

2021100400 has 60 divisors (see below), whose sum is σ = 5297131944. Its totient is φ = 734944000.

The previous prime is 2021100391. The next prime is 2021100409. The reversal of 2021100400 is 40011202.

It is an interprime number because it is at equal distance from previous prime (2021100391) and next prime (2021100409).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021100409) 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 11 ways as a sum of consecutive naturals, for example, 225271 + ... + 234070.

Almost surely, 22021100400 is an apocalyptic number.

2021100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021100400 is an abundant number, since it is smaller than the sum of its proper divisors (3276031544).

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

2021100400 is a wasteful number, since it uses less digits than its factorization.

2021100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459370 (or 459359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2021100400 is about 44956.6502310837. The cubic root of 2021100400 is about 1264.3363649759.

Adding to 2021100400 its reverse (40011202), we get a palindrome (2061111602).

The spelling of 2021100400 in words is "two billion, twenty-one million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 459341 918682 1837364 2296705 3674728 4593410 5052751 7349456 9186820 10105502 11483525 18373640 20211004 22967050 25263755 36747280 40422008 45934100 50527510 80844016 91868200 101055020 126318775 183736400 202110040 252637550 404220080 505275100 1010550200 2021100400