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20021300100 = 22325222245889
BaseRepresentation
bin10010101001010111…
…001100101110000100
31220200022121102111100
4102221113030232010
5312000423100400
613110405540100
71306101146214
oct225127145604
956608542440
1020021300100
11854455810a
123a69114630
131b70c24a49
14d7d06c244
157c2a77100
hex4a95ccb84

20021300100 has 54 divisors (see below), whose sum is σ = 62755655690. Its totient is φ = 5339013120.

The previous prime is 20021300083. The next prime is 20021300119. The reversal of 20021300100 is 100312002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 248440644 + 19772859456 = 15762^2 + 140616^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11122045 + ... + 11123844.

Almost surely, 220021300100 is an apocalyptic number.

20021300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021300100 is an abundant number, since it is smaller than the sum of its proper divisors (42734355590).

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

20021300100 is a wasteful number, since it uses less digits than its factorization.

20021300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22245909 (or 22245899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20021300100 its reverse (100312002), we get a palindrome (20121612102).

The spelling of 20021300100 in words is "twenty billion, twenty-one million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22245889 44491778 66737667 88983556 111229445 133475334 200213001 222458890 266950668 333688335 400426002 444917780 556147225 667376670 800852004 1001065005 1112294450 1334753340 1668441675 2002130010 2224588900 3336883350 4004260020 5005325025 6673766700 10010650050 20021300100