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1101000012 = 223726727947
BaseRepresentation
bin100000110011111…
…1110110101001100
32211201201121002020
41001213332311030
54223324000022
6301130130140
736166226400
oct10147766514
92751647066
101101000012
11515538672
12268880950
13147140bc8
14a631d100
15669d235c
hex419fed4c

1101000012 has 72 divisors (see below), whose sum is σ = 3033140544. Its totient is φ = 309865248.

The previous prime is 1100999989. The next prime is 1101000059. The reversal of 1101000012 is 2100001011.

It is a Harshad number since it is a multiple of its sum of digits (6).

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, 25423 + ... + 53369.

It is an arithmetic number, because the mean of its divisors is an integer number (42126952).

Almost surely, 21101000012 is an apocalyptic number.

1101000012 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 1101000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516570272).

1101000012 is an abundant number, since it is smaller than the sum of its proper divisors (1932140532).

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

1101000012 is a wasteful number, since it uses less digits than its factorization.

1101000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28035 (or 28026 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1101000012 is about 33181.3202268987. The cubic root of 1101000012 is about 1032.5928366203.

Adding to 1101000012 its reverse (2100001011), we get a palindrome (3201001023).

Subtracting 1101000012 from its reverse (2100001011), we obtain a palindrome (999000999).

The spelling of 1101000012 in words is "one billion, one hundred one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2814 3283 5628 6566 9849 13132 19698 27947 39396 55894 83841 111788 167682 195629 335364 391258 586887 782516 1173774 1369403 1872449 2347548 2738806 3744898 4108209 5477612 5617347 7489796 8216418 11234694 13107143 16432836 22469388 26214286 39321429 52428572 78642858 91750001 157285716 183500002 275250003 367000004 550500006 1101000012