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10001220120 = 2333534726687
BaseRepresentation
bin10010101000001111…
…01000001000011000
3221211000001121211000
421110013220020120
5130440303020440
64332224505000
7502560653103
oct112407501030
927730047730
1010001220120
114272478781
121b3147b160
13c35026938
146ac39d73a
153d804e730
hex2541e8218

10001220120 has 128 divisors (see below), whose sum is σ = 33434726400. Its totient is φ = 2659206528.

The previous prime is 10001220113. The next prime is 10001220121. The reversal of 10001220120 is 2102210001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001220121) 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, 361417 + ... + 388103.

It is an arithmetic number, because the mean of its divisors is an integer number (261208800).

Almost surely, 210001220120 is an apocalyptic number.

10001220120 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 10001220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717363200).

10001220120 is an abundant number, since it is smaller than the sum of its proper divisors (23433506280).

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

10001220120 is a wasteful number, since it uses less digits than its factorization.

10001220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27054 (or 27044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001220120 its reverse (2102210001), we get a palindrome (12103430121).

The spelling of 10001220120 in words is "ten billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 347 360 540 694 1041 1080 1388 1735 2082 2776 3123 3470 4164 5205 6246 6940 8328 9369 10410 12492 13880 15615 18738 20820 24984 26687 31230 37476 41640 46845 53374 62460 74952 80061 93690 106748 124920 133435 160122 187380 213496 240183 266870 320244 374760 400305 480366 533740 640488 720549 800610 960732 1067480 1200915 1441098 1601220 1921464 2401830 2882196 3202440 3602745 4803660 5764392 7205490 9260389 9607320 14410980 18520778 27781167 28821960 37041556 46301945 55562334 74083112 83343501 92603890 111124668 138905835 166687002 185207780 222249336 250030503 277811670 333374004 370415560 416717505 500061006 555623340 666748008 833435010 1000122012 1111246680 1250152515 1666870020 2000244024 2500305030 3333740040 5000610060 10001220120