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1001109912 = 233113839901
BaseRepresentation
bin111011101010111…
…011100110011000
32120202202122121220
4323222323212120
54022241004122
6243201132040
733544202535
oct7352734630
92522678556
101001109912
11474111770
1223b32a020
1312c53843a
1496d59d8c
155cd5025c
hex3babb998

1001109912 has 64 divisors (see below), whose sum is σ = 2737704960. Its totient is φ = 302544000.

The previous prime is 1001109881. The next prime is 1001109919. The reversal of 1001109912 is 2199011001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001109919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96162 + ... + 106062.

It is an arithmetic number, because the mean of its divisors is an integer number (42776640).

Almost surely, 21001109912 is an apocalyptic number.

1001109912 is a gapful number since it is divisible by the number (12) 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 1001109912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368852480).

1001109912 is an abundant number, since it is smaller than the sum of its proper divisors (1736595048).

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

1001109912 is a wasteful number, since it uses less digits than its factorization.

1001109912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 1001109912 is about 31640.3209844654. The cubic root of 1001109912 is about 1000.3698338727.

The spelling of 1001109912 in words is "one billion, one million, one hundred nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 383 766 1149 1532 2298 3064 4213 4596 8426 9192 9901 12639 16852 19802 25278 29703 33704 39604 50556 59406 79208 101112 108911 118812 217822 237624 326733 435644 653466 871288 1306932 2613864 3792083 7584166 11376249 15168332 22752498 30336664 41712913 45504996 83425826 91009992 125138739 166851652 250277478 333703304 500554956 1001109912