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20210011100020 = 22574324135933877
BaseRepresentation
bin1001001100001100000101…
…00010000101001101110100
32122120001120102101202122101
410212012002202011031310
510122110100320200040
6110552203444511444
74154060625641260
oct446060242051564
978501512352571
1020210011100020
116492021434915
122324a039ab584
13b37a466a8821
144dc253b510a0
15250a9715c09a
hex126182885374

20210011100020 has 192 divisors, whose sum is σ = 49864698487296. Its totient is φ = 6736306913280.

The previous prime is 20210011100017. The next prime is 20210011100021. The reversal of 20210011100020 is 2000111001202.

It is a super-2 number, since 2×202100111000202 (a number of 27 digits) contains 22 as substring.

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 (20210011100021) 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 63 ways as a sum of consecutive naturals, for example, 5212794322 + ... + 5212798198.

It is an arithmetic number, because the mean of its divisors is an integer number (259711971288).

Almost surely, 220210011100020 is an apocalyptic number.

20210011100020 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 20210011100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932349243648).

20210011100020 is an abundant number, since it is smaller than the sum of its proper divisors (29654687387276).

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

20210011100020 is a wasteful number, since it uses less digits than its factorization.

20210011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20210011100020 its reverse (2000111001202), we get a palindrome (22210122101222).

The spelling of 20210011100020 in words is "twenty trillion, two hundred ten billion, eleven million, one hundred thousand, twenty".