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1100132020 = 225134231277
BaseRepresentation
bin100000110010010…
…1010111010110100
32211200002111102101
41001210222322310
54223113211040
6301055351444
736155652661
oct10144527264
92750074371
101100132020
11514aa5519
12268522584
13146bc8ac0
14a6174a68
15668b009a
hex4192aeb4

1100132020 has 24 divisors (see below), whose sum is σ = 2487991464. Its totient is φ = 406202496.

The previous prime is 1100132009. The next prime is 1100132029. The reversal of 1100132020 is 202310011.

It can be written as a sum of positive squares in 4 ways, for example, as 65480464 + 1034651556 = 8092^2 + 32166^2 .

It is a super-2 number, since 2×11001320202 = 2420580922858560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100131988 and 1100132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100132029) 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, 2115379 + ... + 2115898.

It is an arithmetic number, because the mean of its divisors is an integer number (103666311).

Almost surely, 21100132020 is an apocalyptic number.

1100132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100132020 is an abundant number, since it is smaller than the sum of its proper divisors (1387859444).

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

1100132020 is a wasteful number, since it uses less digits than its factorization.

1100132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231299 (or 4231297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100132020 is about 33168.2381202258. The cubic root of 1100132020 is about 1032.3214112652.

Adding to 1100132020 its reverse (202310011), we get a palindrome (1302442031).

The spelling of 1100132020 in words is "one billion, one hundred million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4231277 8462554 16925108 21156385 42312770 55006601 84625540 110013202 220026404 275033005 550066010 1100132020