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12047882100 = 2235275753051
BaseRepresentation
bin10110011100001110…
…00001011101110100
31011002122012211020120
423032013001131310
5144133224211400
65311255531540
7604362210462
oct131607013564
934078184216
1012047882100
115122796161
122402989bb0
1311a005ac27
14824123832
154a7a7cca0
hex2ce1c1774

12047882100 has 72 divisors (see below), whose sum is σ = 34905245088. Its totient is φ = 3208464000.

The previous prime is 12047882089. The next prime is 12047882111. The reversal of 12047882100 is 128874021.

It is a happy number.

12047882100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12047882089) and next prime (12047882111).

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 23 ways as a sum of consecutive naturals, for example, 200575 + ... + 253625.

Almost surely, 212047882100 is an apocalyptic number.

12047882100 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 12047882100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17452622544).

12047882100 is an abundant number, since it is smaller than the sum of its proper divisors (22857362988).

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

12047882100 is a wasteful number, since it uses less digits than its factorization.

12047882100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53825 (or 53818 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 12047882100 in words is "twelve billion, forty-seven million, eight hundred eighty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 757 1514 2271 3028 3785 4542 7570 9084 11355 15140 18925 22710 37850 45420 53051 56775 75700 106102 113550 159153 212204 227100 265255 318306 530510 636612 795765 1061020 1326275 1591530 2652550 3183060 3978825 5305100 7957650 15915300 40159607 80319214 120478821 160638428 200798035 240957642 401596070 481915284 602394105 803192140 1003990175 1204788210 2007980350 2409576420 3011970525 4015960700 6023941050 12047882100