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1220221221100 = 2252724331718269
BaseRepresentation
bin10001110000011010110…
…110100011100011101100
311022122121022111120112021
4101300122312203203230
5124443003113033400
62332321211315524
7154105135150300
oct21603266434354
94278538446467
101220221221100
11430547082872
121785a174bba4
138b0b2a69aab
14430b7d57d00
1521b1a0a371a
hex11c1ada38ec

1220221221100 has 216 divisors, whose sum is σ = 3161934966960. Its totient is φ = 407320865280.

The previous prime is 1220221221091. The next prime is 1220221221119. The reversal of 1220221221100 is 11221220221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66782766 + ... + 66801034.

It is an arithmetic number, because the mean of its divisors is an integer number (14638587810).

Almost surely, 21220221221100 is an apocalyptic number.

1220221221100 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 1220221221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580967483480).

1220221221100 is an abundant number, since it is smaller than the sum of its proper divisors (1941713745860).

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

1220221221100 is a wasteful number, since it uses less digits than its factorization.

1220221221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18657 (or 18643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1220221221100 its reverse (11221220221), we get a palindrome (1231442441321).

The spelling of 1220221221100 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".