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1131020220 = 22351119247101
BaseRepresentation
bin100001101101001…
…1111111110111100
32220211012210001210
41003122133332330
54304020121340
6304121404420
740012341021
oct10332377674
92824183053
101131020220
11530482260
12276939710
13150422145
14aa2d5548
1569462180
hex4369ffbc

1131020220 has 288 divisors, whose sum is σ = 3760598016. Its totient is φ = 251712000.

The previous prime is 1131020203. The next prime is 1131020221. The reversal of 1131020220 is 220201311.

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 = 1131020196 and 1131020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131020221) 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, 11198170 + ... + 11198270.

It is an arithmetic number, because the mean of its divisors is an integer number (13057632).

Almost surely, 21131020220 is an apocalyptic number.

1131020220 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 1131020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880299008).

1131020220 is an abundant number, since it is smaller than the sum of its proper divisors (2629577796).

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

1131020220 is a wasteful number, since it uses less digits than its factorization.

1131020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

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

The square root of 1131020220 is about 33630.6440616293. The cubic root of 1131020220 is about 1041.8938064960.

Adding to 1131020220 its reverse (220201311), we get a palindrome (1351221531).

The spelling of 1131020220 in words is "one billion, one hundred thirty-one million, twenty thousand, two hundred twenty".