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12171471100 = 22522931135389
BaseRepresentation
bin10110101010111100…
…11110100011111100
31011102020202210110221
423111132132203330
5144411344033400
65331432511124
7610422540325
oct132536364374
934366683427
1012171471100
115186529428
12243824b4a4
1311bc840609
148366d544c
154b3841c1a
hex2d579e8fc

12171471100 has 72 divisors (see below), whose sum is σ = 28204444800. Its totient is φ = 4549036800.

The previous prime is 12171471061. The next prime is 12171471121. The reversal of 12171471100 is 117417121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22206 + ... + 157594.

It is an arithmetic number, because the mean of its divisors is an integer number (391728400).

Almost surely, 212171471100 is an apocalyptic number.

12171471100 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 12171471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102222400).

12171471100 is an abundant number, since it is smaller than the sum of its proper divisors (16032973700).

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

12171471100 is a wasteful number, since it uses less digits than its factorization.

12171471100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135463 (or 135456 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 12171471100 its reverse (117417121), we get a palindrome (12288888221).

The spelling of 12171471100 in words is "twelve billion, one hundred seventy-one million, four hundred seventy-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 899 1450 1550 1798 2900 3100 3596 4495 8990 17980 22475 44950 89900 135389 270778 541556 676945 1353890 2707780 3384725 3926281 4197059 6769450 7852562 8394118 13538900 15705124 16788236 19631405 20985295 39262810 41970590 78525620 83941180 98157025 104926475 121714711 196314050 209852950 243429422 392628100 419705900 486858844 608573555 1217147110 2434294220 3042867775 6085735550 12171471100