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1021230031120 = 245136120537841
BaseRepresentation
bin11101101110001100000…
…11011010000100010000
310121121222021110202012221
432313012003122010100
5113212434341443440
62101051355430424
7133532014016335
oct16670603320420
93547867422187
101021230031120
11364112802562
12145b07a55414
13753bc750b30
14375dbc3898c
151b8704a0d4a
hexedc60da110

1021230031120 has 160 divisors (see below), whose sum is σ = 2600518493664. Its totient is φ = 370660147200.

The previous prime is 1021230031117. The next prime is 1021230031121. The reversal of 1021230031120 is 211300321201.

It can be written as a sum of positive squares in 16 ways, for example, as 749568082176 + 271661948944 = 865776^2 + 521212^2 .

It is a super-2 number, since 2×10212300311202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1021230031094 and 1021230031103.

It is not an unprimeable number, because it can be changed into a prime (1021230031121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 130238400 + ... + 130246240.

Almost surely, 21021230031120 is an apocalyptic number.

1021230031120 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 1021230031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300259246832).

1021230031120 is an abundant number, since it is smaller than the sum of its proper divisors (1579288462544).

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

1021230031120 is a wasteful number, since it uses less digits than its factorization.

1021230031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1021230031120 its reverse (211300321201), we get a palindrome (1232530352321).

The spelling of 1021230031120 in words is "one trillion, twenty-one billion, two hundred thirty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 130 208 244 260 305 488 520 610 793 976 1040 1220 1586 2053 2440 3172 3965 4106 4880 6344 7841 7930 8212 10265 12688 15682 15860 16424 20530 26689 31364 31720 32848 39205 41060 53378 62728 63440 78410 82120 101933 106756 125233 125456 133445 156820 164240 203866 213512 250466 266890 313640 407732 427024 478301 500932 509665 533780 626165 627280 815464 956602 1001864 1019330 1067560 1252330 1628029 1630928 1913204 2003728 2038660 2135120 2391505 2504660 3256058 3826408 4077320 4783010 5009320 6217913 6512116 7652816 8140145 8154640 9566020 10018640 12435826 13024232 16097573 16280290 19132040 24871652 26048464 31089565 32195146 32560580 38264080 49743304 62179130 64390292 65121160 80487865 99486608 124358260 128780584 130242320 160975730 209268449 248716520 257561168 321951460 418536898 497433040 643902920 837073796 981951953 1046342245 1287805840 1674147592 1963903906 2092684490 3348295184 3927807812 4185368980 4909759765 7855615624 8370737960 9819519530 12765375389 15711231248 16741475920 19639039060 25530750778 39278078120 51061501556 63826876945 78556156240 102123003112 127653753890 204246006224 255307507780 510615015560 1021230031120