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12032031000 = 2335311364607
BaseRepresentation
bin10110011010010101…
…00011100100011000
31011001112101111121210
423031022203210120
5144120144443000
65305532103120
7604110401403
oct131512434430
934045344553
1012032031000
115114849a80
1223b9604aa0
13119999b092
14821d98d3a
154a649b350
hex2cd2a3918

12032031000 has 128 divisors (see below), whose sum is σ = 40952770560. Its totient is φ = 2916848000.

The previous prime is 12032030987. The next prime is 12032031001. The reversal of 12032031000 is 13023021.

It is a happy number.

It is a super-2 number, since 2×120320310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149304 + ... + 215303.

It is an arithmetic number, because the mean of its divisors is an integer number (319943520).

Almost surely, 212032031000 is an apocalyptic number.

12032031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032031000 is an abundant number, since it is smaller than the sum of its proper divisors (28920739560).

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

12032031000 is a wasteful number, since it uses less digits than its factorization.

12032031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364642 (or 364628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12032031000 its reverse (13023021), we get a palindrome (12045054021).

The spelling of 12032031000 in words is "twelve billion, thirty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 364607 729214 1093821 1458428 1823035 2187642 2916856 3646070 4010677 4375284 5469105 7292140 8021354 8750568 9115175 10938210 12032031 14584280 16042708 18230350 20053385 21876420 24064062 27345525 32085416 36460700 40106770 43752840 45575875 48128124 54691050 60160155 72921400 80213540 91151750 96256248 100266925 109382100 120320310 136727625 160427080 182303500 200533850 218764200 240640620 273455250 300800775 364607000 401067700 481281240 501334625 546910500 601601550 802135400 1002669250 1093821000 1203203100 1504003875 2005338500 2406406200 3008007750 4010677000 6016015500 12032031000