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2220111100020 = 22351124110173847
BaseRepresentation
bin100000010011101000111…
…011101111100001110100
321212020111100201021021210
4200103220323233201310
5242333241420200040
64415523245441420
7316253264661522
oct40235073574164
97766440637253
102220111100020
117865a8924100
122ba332870270
1313148128a118
147964d8d7312
153cb3bd16480
hex204e8eef874

2220111100020 has 288 divisors, whose sum is σ = 7068855806208. Its totient is φ = 519875840000.

The previous prime is 2220111100019. The next prime is 2220111100021. The reversal of 2220111100020 is 200011110222.

2220111100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2220111100019) and next prime (2220111100021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2220111099969 and 2220111100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220111100021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30026737 + ... + 30100583.

It is an arithmetic number, because the mean of its divisors is an integer number (24544638216).

Almost surely, 22220111100020 is an apocalyptic number.

2220111100020 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 2220111100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534427903104).

2220111100020 is an abundant number, since it is smaller than the sum of its proper divisors (4848744706188).

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

2220111100020 is a wasteful number, since it uses less digits than its factorization.

2220111100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74023 (or 74010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2220111100020 its reverse (200011110222), we get a palindrome (2420122210242).

The spelling of 2220111100020 in words is "two trillion, two hundred twenty billion, one hundred eleven million, one hundred thousand, twenty".