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21000202100020 = 225111341197909091
BaseRepresentation
bin1001100011001011111011…
…00101100001110100110100
32202100121012012011200020201
410301211331211201310310
510223031403214200040
6112355205404210244
74265133404422543
oct461457545416464
982317165150221
1021000202100020
11676715467a740
122431b91239984
13b944063c0690
145285b547215a
152663e421da9a
hex13197d961d34

21000202100020 has 192 divisors, whose sum is σ = 53343424012032. Its totient is φ = 6842174976000.

The previous prime is 21000202099999. The next prime is 21000202100021. The reversal of 21000202100020 is 2000120200012.

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 (21000202100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22645675 + ... + 23554765.

It is an arithmetic number, because the mean of its divisors is an integer number (277830333396).

Almost surely, 221000202100020 is an apocalyptic number.

21000202100020 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 21000202100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671712006016).

21000202100020 is an abundant number, since it is smaller than the sum of its proper divisors (32343221912012).

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

21000202100020 is a wasteful number, since it uses less digits than its factorization.

21000202100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909362 (or 909360 counting only the distinct ones).

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

Adding to 21000202100020 its reverse (2000120200012), we get a palindrome (23000322300032).

The spelling of 21000202100020 in words is "twenty-one trillion, two hundred two million, one hundred thousand, twenty".