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1100231220 = 223511323599
BaseRepresentation
bin100000110010100…
…0011001000110100
32211200021112111110
41001211003020310
54223124344340
6301101435020
736156545124
oct10145031064
92750245443
101100231220
11515063000
1226856ba70
13146c31cba
14a619cc84
15668ce680
hex41943234

1100231220 has 192 divisors, whose sum is σ = 3541708800. Its totient is φ = 254700160.

The previous prime is 1100231219. The next prime is 1100231221. The reversal of 1100231220 is 221320011.

It is an interprime number because it is at equal distance from previous prime (1100231219) and next prime (1100231221).

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 = 1100231196 and 1100231205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100231221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1836481 + ... + 1837079.

It is an arithmetic number, because the mean of its divisors is an integer number (18446400).

Almost surely, 21100231220 is an apocalyptic number.

1100231220 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 1100231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770854400).

1100231220 is an abundant number, since it is smaller than the sum of its proper divisors (2441477580).

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

1100231220 is a wasteful number, since it uses less digits than its factorization.

1100231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1100231220 is about 33169.7334930506. The cubic root of 1100231220 is about 1032.3524388159.

Adding to 1100231220 its reverse (221320011), we get a palindrome (1321551231).

The spelling of 1100231220 in words is "one billion, one hundred million, two hundred thirty-one thousand, two hundred twenty".