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1001133020 = 225151331501
BaseRepresentation
bin111011101011000…
…001001111011100
32120202210211022202
4323223001033130
54022242224040
6243201431032
733544330106
oct7353011734
92522724282
101001133020
11474128068
1223b33b478
1312c545b04
1496d64576
155cd57015
hex3bac13dc

1001133020 has 24 divisors (see below), whose sum is σ = 2116308768. Its totient is φ = 397800000.

The previous prime is 1001133019. The next prime is 1001133053. The reversal of 1001133020 is 203311001.

It is a junction number, because it is equal to n+sod(n) for n = 1001132992 and 1001133010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162731 + ... + 168770.

It is an arithmetic number, because the mean of its divisors is an integer number (88179532).

Almost surely, 21001133020 is an apocalyptic number.

1001133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001133020 is an abundant number, since it is smaller than the sum of its proper divisors (1115175748).

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

1001133020 is a wasteful number, since it uses less digits than its factorization.

1001133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331661 (or 331659 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1001133020 is about 31640.6861493236. The cubic root of 1001133020 is about 1000.3775307859.

Adding to 1001133020 its reverse (203311001), we get a palindrome (1204444021).

The spelling of 1001133020 in words is "one billion, one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 331501 663002 1326004 1657505 3315010 6630020 50056651 100113302 200226604 250283255 500566510 1001133020