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1000020122000 = 24531967339103
BaseRepresentation
bin11101000110101011101…
…10000001100110010000
310112121020010021201200022
432203111312001212100
5112341020122401000
62043223005443012
7132151300533524
oct16432566014620
93477203251608
101000020122000
11356119319949
12141988870468
13733bc4c2653
1436588da3d84
151b02d3dd585
hexe8d5d81990

1000020122000 has 160 divisors (see below), whose sum is σ = 2549161605120. Its totient is φ = 378382233600.

The previous prime is 1000020121979. The next prime is 1000020122011. The reversal of 1000020122000 is 2210200001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 25554449 + ... + 25593551.

It is an arithmetic number, because the mean of its divisors is an integer number (15932260032).

Almost surely, 21000020122000 is an apocalyptic number.

1000020122000 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 1000020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274580802560).

1000020122000 is an abundant number, since it is smaller than the sum of its proper divisors (1549141483120).

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

1000020122000 is a wasteful number, since it uses less digits than its factorization.

1000020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39818 (or 39802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1000020122000 its reverse (2210200001), we get a palindrome (1002230322001).

The spelling of 1000020122000 in words is "one trillion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 673 760 950 1000 1346 1520 1900 2000 2375 2692 3365 3800 4750 5384 6730 7600 9500 10768 12787 13460 16825 19000 25574 26920 33650 38000 39103 51148 53840 63935 67300 78206 84125 102296 127870 134600 156412 168250 195515 204592 255740 269200 312824 319675 336500 391030 511480 625648 639350 673000 742957 782060 977575 1022960 1278700 1346000 1485914 1564120 1598375 1955150 2557400 2971828 3128240 3196750 3714785 3910300 4887875 5114800 5943656 6393500 7429570 7820600 9775750 11887312 12787000 14859140 15641200 18573925 19551500 25574000 26316319 29718280 37147850 39103000 52632638 59436560 74295700 78206000 92869625 105265276 131581595 148591400 185739250 210530552 263163190 297182800 371478500 421061104 500010061 526326380 657907975 742957000 1000020122 1052652760 1315815950 1485914000 2000040244 2105305520 2500050305 2631631900 3289539875 4000080488 5000100610 5263263800 6579079750 8000160976 10000201220 10526527600 12500251525 13158159500 20000402440 25000503050 26316319000 40000804880 50001006100 52632638000 62501257625 100002012200 125002515250 200004024400 250005030500 500010061000 1000020122000