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2132010203120 = 245771415912893
BaseRepresentation
bin11111000001100101101…
…101011111011111110000
321112211002110022222212022
4133001211231133133300
5234412324102444440
64311233145451012
7310014125500640
oct37014555373760
97484073288768
102132010203120
117521a91a6306
122a5245aa0a68
13126080a463b5
1475292d0c520
153a6d256bcb5
hex1f065b5f7f0

2132010203120 has 160 divisors (see below), whose sum is σ = 5746672189440. Its totient is φ = 720450339840.

The previous prime is 2132010203083. The next prime is 2132010203123. The reversal of 2132010203120 is 213020102312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132010203123) 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, 165355394 + ... + 165368286.

It is an arithmetic number, because the mean of its divisors is an integer number (35916701184).

Almost surely, 22132010203120 is an apocalyptic number.

2132010203120 is a gapful number since it is divisible by the number (20) 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 2132010203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873336094720).

2132010203120 is an abundant number, since it is smaller than the sum of its proper divisors (3614661986320).

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

2132010203120 is a wasteful number, since it uses less digits than its factorization.

2132010203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17143 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2132010203120 its reverse (213020102312), we get a palindrome (2345030305432).

The spelling of 2132010203120 in words is "two trillion, one hundred thirty-two billion, ten million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 112 140 142 280 284 355 497 560 568 710 994 1136 1420 1988 2485 2840 3976 4159 4970 5680 7952 8318 9940 12893 16636 19880 20795 25786 29113 33272 39760 41590 51572 58226 64465 66544 83180 90251 103144 116452 128930 145565 166360 180502 206288 232904 257860 291130 295289 332720 361004 451255 465808 515720 582260 590578 722008 902510 915403 1031440 1164520 1181156 1444016 1476445 1805020 1830806 2067023 2329040 2362312 2952890 3610040 3661612 4134046 4577015 4724624 5905780 6407821 7220080 7323224 8268092 9154030 10335115 11811560 12815642 14646448 16536184 18308060 20670230 23623120 25631284 32039105 33072368 36616120 41340460 51262568 53621987 64078210 73232240 82680920 102525136 107243974 128156420 165361840 214487948 256312840 268109935 375353909 428975896 512625680 536219870 750707818 857951792 1072439740 1501415636 1876769545 2144879480 3002831272 3753539090 3807161077 4289758960 6005662544 7507078180 7614322154 15014156360 15228644308 19035805385 26650127539 30028312720 30457288616 38071610770 53300255078 60914577232 76143221540 106600510156 133250637695 152286443080 213201020312 266501275390 304572886160 426402040624 533002550780 1066005101560 2132010203120