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1001123220 = 2235127131381
BaseRepresentation
bin111011101010111…
…110110110010100
32120202210022212210
4323222332312110
54022241420340
6243201313420
733544256406
oct7352766624
92522708783
101001123220
11474120769
1223b335870
1312c541506
1496d60b76
155cd54180
hex3babed94

1001123220 has 48 divisors (see below), whose sum is σ = 2825238528. Its totient is φ = 264862080.

The previous prime is 1001123219. The next prime is 1001123261. The reversal of 1001123220 is 223211001.

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 = 1001123196 and 1001123205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58071 + ... + 73310.

It is an arithmetic number, because the mean of its divisors is an integer number (58859136).

Almost surely, 21001123220 is an apocalyptic number.

1001123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001123220 is an abundant number, since it is smaller than the sum of its proper divisors (1824115308).

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

1001123220 is a wasteful number, since it uses less digits than its factorization.

1001123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131520 (or 131518 counting only the distinct ones).

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

The square root of 1001123220 is about 31640.5312850464. The cubic root of 1001123220 is about 1000.3742665737.

Adding to 1001123220 its reverse (223211001), we get a palindrome (1224334221).

The spelling of 1001123220 in words is "one billion, one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 131381 262762 394143 525524 656905 788286 1313810 1576572 1970715 2627620 3941430 7882860 16685387 33370774 50056161 66741548 83426935 100112322 166853870 200224644 250280805 333707740 500561610 1001123220