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331023031000 = 235317190110243
BaseRepresentation
bin1001101000100101000…
…00101001101011011000
31011122102120020021211021
410310102200221223120
520410413343443000
6412023032212224
732626026224014
oct4642240515330
91148376207737
10331023031000
111184279646a2
12541a2b3a074
13252a5135a9c
14120433b1544
15892601811a
hex4d12829ad8

331023031000 has 128 divisors (see below), whose sum is σ = 820669786560. Its totient is φ = 124542720000.

The previous prime is 331023030997. The next prime is 331023031013. The reversal of 331023031000 is 130320133.

It is a super-2 number, since 2×3310230310002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32311879 + ... + 32322121.

Almost surely, 2331023031000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331023031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410334893280).

331023031000 is an abundant number, since it is smaller than the sum of its proper divisors (489646755560).

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

331023031000 is a wasteful number, since it uses less digits than its factorization.

331023031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12168 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 331023031000 its reverse (130320133), we get a palindrome (331153351133).

The spelling of 331023031000 in words is "three hundred thirty-one billion, twenty-three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 1901 2125 3400 3802 4250 7604 8500 9505 10243 15208 17000 19010 20486 32317 38020 40972 47525 51215 64634 76040 81944 95050 102430 129268 161585 174131 190100 204860 237625 256075 258536 323170 348262 380200 409720 475250 512150 646340 696524 807925 870655 950500 1024300 1280375 1292680 1393048 1615850 1741310 1901000 2048600 2560750 3231700 3482620 4039625 4353275 5121500 6463400 6965240 8079250 8706550 10243000 16158500 17413100 19471943 21766375 32317000 34826200 38943886 43532750 77887772 87065500 97359715 155775544 174131000 194719430 331023031 389438860 486798575 662046062 778877720 973597150 1324092124 1655115155 1947194300 2433992875 2648184248 3310230310 3894388600 4867985750 6620460620 8275575775 9735971500 13240921240 16551151550 19471943000 33102303100 41377878875 66204606200 82755757750 165511515500 331023031000