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1030122231000 = 233531579217463
BaseRepresentation
bin11101111110110000001…
…00011101010011011000
310122110220222201022021020
432333120010131103120
5113334142242343000
62105122010242440
7134265250330332
oct16773004352330
93573828638236
101030122231000
11367966164985
12147789a26420
13761a8a89175
1437c02bcc452
151bbe0e86ba0
hexefd811d4d8

1030122231000 has 128 divisors (see below), whose sum is σ = 3216031603200. Its totient is φ = 274524028800.

The previous prime is 1030122230959. The next prime is 1030122231041. The reversal of 1030122231000 is 1322210301.

It is an interprime number because it is at equal distance from previous prime (1030122230959) and next prime (1030122231041).

It is a super-3 number, since 3×10301222310003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4628269 + ... + 4845731.

It is an arithmetic number, because the mean of its divisors is an integer number (25125246900).

Almost surely, 21030122231000 is an apocalyptic number.

1030122231000 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 1030122231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608015801600).

1030122231000 is an abundant number, since it is smaller than the sum of its proper divisors (2185909372200).

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

1030122231000 is a wasteful number, since it uses less digits than its factorization.

1030122231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219066 (or 219052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1030122231000 its reverse (1322210301), we get a palindrome (1031444441301).

The spelling of 1030122231000 in words is "one trillion, thirty billion, one hundred twenty-two million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1579 3000 3158 4737 6316 7895 9474 12632 15790 18948 23685 31580 37896 39475 47370 63160 78950 94740 118425 157900 189480 197375 217463 236850 315800 394750 434926 473700 592125 652389 789500 869852 947400 1087315 1184250 1304778 1579000 1739704 2174630 2368500 2609556 3261945 4349260 4737000 5219112 5436575 6523890 8698520 10873150 13047780 16309725 21746300 26095560 27182875 32619450 43492600 54365750 65238900 81548625 108731500 130477800 163097250 217463000 326194500 343374077 652389000 686748154 1030122231 1373496308 1716870385 2060244462 2746992616 3433740770 4120488924 5150611155 6867481540 8240977848 8584351925 10301222310 13734963080 17168703850 20602444620 25753055775 34337407700 41204889240 42921759625 51506111550 68674815400 85843519250 103012223100 128765278875 171687038500 206024446200 257530557750 343374077000 515061115500 1030122231000