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1220022100220 = 22571123312394649
BaseRepresentation
bin10001110000001110111…
…110111110000011111100
311022122002102211012000212
4101300032332332003330
5124442101124201340
62332245335411552
7154100166514040
oct21601676760374
94278072735025
101220022100220
11430454740360
12178546b23bb8
138b08072c9a1
1443099724020
1521b0786ea65
hex11c0efbe0fc

1220022100220 has 384 divisors, whose sum is σ = 3455778816000. Its totient is φ = 350451763200.

The previous prime is 1220022100211. The next prime is 1220022100223. The reversal of 1220022100220 is 220012200221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1220022100195 and 1220022100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220022100223) 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 127 ways as a sum of consecutive naturals, for example, 262424456 + ... + 262429104.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424000).

Almost surely, 21220022100220 is an apocalyptic number.

1220022100220 is a gapful number since it is divisible by the number (10) 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 1220022100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727889408000).

1220022100220 is an abundant number, since it is smaller than the sum of its proper divisors (2235756715780).

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

1220022100220 is a wasteful number, since it uses less digits than its factorization.

1220022100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1220022100220 its reverse (220012200221), we get a palindrome (1440034300441).

It can be divided in two parts, 122002 and 2100220, that added together give a palindrome (2222222).

The spelling of 1220022100220 in words is "one trillion, two hundred twenty billion, twenty-two million, one hundred thousand, two hundred twenty".