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2001101120 = 2656253441
BaseRepresentation
bin111011101000110…
…0110000101000000
312011110102110200022
41313101212011000
513044240213440
6530322313012
7100406036024
oct16721460500
95143373608
102001101120
11937629987
1247a1b8768
1325b771605
1414daa4384
15baa2dcb5
hex77466140

2001101120 has 28 divisors (see below), whose sum is σ = 4765122804. Its totient is φ = 800440320.

The previous prime is 2001101117. The next prime is 2001101153. The reversal of 2001101120 is 211011002.

It can be written as a sum of positive squares in 2 ways, for example, as 1377300544 + 623800576 = 37112^2 + 24976^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2001101098 and 2001101107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3126401 + ... + 3127040.

Almost surely, 22001101120 is an apocalyptic number.

2001101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101120 is an abundant number, since it is smaller than the sum of its proper divisors (2764021684).

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

2001101120 is an equidigital number, since it uses as much as digits as its factorization.

2001101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253458 (or 6253448 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2001101120 is about 44733.6687518473. The cubic root of 2001101120 is about 1260.1522281853.

Adding to 2001101120 its reverse (211011002), we get a palindrome (2212112122).

The spelling of 2001101120 in words is "two billion, one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6253441 12506882 25013764 31267205 50027528 62534410 100055056 125068820 200110112 250137640 400220224 500275280 1000550560 2001101120