1101144820 has 24 divisors (see below), whose sum is σ = 2315732328. Its totient is φ = 439824000.

The previous prime is 1101144763. The next prime is 1101144823. The reversal of 1101144820 is 284411011.

It can be written as a sum of positive squares in 4 ways, for example, as 482329444 + 618815376 = 21962^2 + 24876^2 .

It is a super-2 number, since 2×1101144820² = 2425039829225664800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101144791 and 1101144800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101144823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25251 + ... + 53290.

It is an arithmetic number, because the mean of its divisors is an integer number (96488847).

Almost surely, 2^1101144820 is an apocalyptic number.

1101144820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101144820 is an abundant number, since it is smaller than the sum of its proper divisors (1214587508).

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

1101144820 is a wasteful number, since it uses less digits than its factorization.

1101144820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79251 (or 79249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1101144820 is about 33183.5022262570. The cubic root of 1101144820 is about 1032.6381049058.

Adding to 1101144820 its reverse (284411011), we get a palindrome (1385555831).

The spelling of 1101144820 in words is "one billion, one hundred one million, one hundred forty-four thousand, eight hundred twenty".