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1000011020 = 225232313049
BaseRepresentation
bin111011100110101…
…111010100001100
32120200200211020012
4323212233110030
54022000323040
6243121412352
733531645011
oct7346572414
92520624205
101000011020
11473531098
1223aa9a0b8
1312c2421c8
1496b51708
155cbd4865
hex3b9af50c

1000011020 has 72 divisors (see below), whose sum is σ = 2266857600. Its totient is φ = 370149120.

The previous prime is 1000011011. The next prime is 1000011071. The reversal of 1000011020 is 201100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 1000010995 and 1000011013.

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 23 ways as a sum of consecutive naturals, for example, 326456 + ... + 329504.

Almost surely, 21000011020 is an apocalyptic number.

1000011020 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 1000011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133428800).

1000011020 is an abundant number, since it is smaller than the sum of its proper divisors (1266846580).

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

1000011020 is a wasteful number, since it uses less digits than its factorization.

1000011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000011020 is about 31622.9508427028. The cubic root of 1000011020 is about 1000.0036733198.

Adding to 1000011020 its reverse (201100001), we get a palindrome (1201111021).

The spelling of 1000011020 in words is "one billion, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 529 620 713 1058 1426 2116 2645 2852 3049 3565 5290 6098 7130 10580 12196 14260 15245 16399 30490 32798 60980 65596 70127 81995 94519 140254 163990 189038 280508 327980 350635 378076 472595 701270 945190 1402540 1612921 1890380 2173937 3225842 4347874 6451684 8064605 8695748 10869685 16129210 21739370 32258420 43478740 50000551 100001102 200002204 250002755 500005510 1000011020