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1001033220 = 22351110115017
BaseRepresentation
bin111011101010101…
…000111000000100
32120202121202102110
4323222220320010
54022231030340
6243155341020
733543433125
oct7352507004
92522552373
101001033220
1147406a090
1223b2b1770
1312c50c565
1496d3a04c
155cd37680
hex3baa8e04

1001033220 has 96 divisors (see below), whose sum is σ = 3088181376. Its totient is φ = 240256000.

The previous prime is 1001033191. The next prime is 1001033263. The reversal of 1001033220 is 223301001.

It is a happy number.

1001033220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 1001033196 and 1001033205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59152 + ... + 74168.

It is an arithmetic number, because the mean of its divisors is an integer number (32168556).

Almost surely, 21001033220 is an apocalyptic number.

1001033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544090688).

1001033220 is an abundant number, since it is smaller than the sum of its proper divisors (2087148156).

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

1001033220 is a wasteful number, since it uses less digits than its factorization.

1001033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15141 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001033220 is about 31639.1090266461. The cubic root of 1001033220 is about 1000.3442881188.

Adding to 1001033220 its reverse (223301001), we get a palindrome (1224334221).

The spelling of 1001033220 in words is "one billion, one million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 15017 16665 22220 30034 33330 45051 60068 66660 75085 90102 150170 165187 180204 225255 300340 330374 450510 495561 660748 825935 901020 991122 1516717 1651870 1982244 2477805 3033434 3303740 4550151 4955610 6066868 7583585 9100302 9911220 15167170 16683887 18200604 22750755 30334340 33367774 45501510 50051661 66735548 83419435 91003020 100103322 166838870 200206644 250258305 333677740 500516610 1001033220