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20221110211120 = 24571319823117761
BaseRepresentation
bin1001001100100000110000…
…00101110101001000110000
32122121010012221100000202021
410212100120011311020300
510122300313203223440
6111001241053201224
74154632650554620
oct446203005651060
978533187300667
1020221110211120
1164967a7607305
122326ba0a90214
13b38ac4cc51a0
144dc9c7c60880
15250ee677784a
hex126418175230

20221110211120 has 320 divisors, whose sum is σ = 60919760885760. Its totient is φ = 6061746585600.

The previous prime is 20221110211109. The next prime is 20221110211121. The reversal of 20221110211120 is 2111201112202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20221110211094 and 20221110211103.

It is not an unprimeable number, because it can be changed into a prime (20221110211121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138503040 + ... + 1138520800.

It is an arithmetic number, because the mean of its divisors is an integer number (190374252768).

Almost surely, 220221110211120 is an apocalyptic number.

20221110211120 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 20221110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459880442880).

20221110211120 is an abundant number, since it is smaller than the sum of its proper divisors (40698650674640).

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

20221110211120 is a wasteful number, since it uses less digits than its factorization.

20221110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26044 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20221110211120 its reverse (2111201112202), we get a palindrome (22332311323322).

The spelling of 20221110211120 in words is "twenty trillion, two hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".