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211232032000020 = 2232517271254723527
BaseRepresentation
bin110000000001110101001010…
…001110111000100000010100
31000200220120210111102121202100
4300001311022032320200110
5210141311200143000040
62025130353400042100
762331003445124253
oct6001651216704024
91020816714377670
10211232032000020
116133a002290149
121b836224163330
1390b3131066965
143a2398351079a
15196496adcab30
hexc01d4a3b8814

211232032000020 has 144 divisors (see below), whose sum is σ = 680931010626048. Its totient is φ = 52819470351360.

The previous prime is 211232032000019. The next prime is 211232032000027. The reversal of 211232032000020 is 20000230232112.

211232032000020 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 320 + 320 + 0 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211232031999957 and 211232032000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211232032000027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126532504 + ... + 128191023.

It is an arithmetic number, because the mean of its divisors is an integer number (4728687573792).

Almost surely, 2211232032000020 is an apocalyptic number.

211232032000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211232032000020 is an abundant number, since it is smaller than the sum of its proper divisors (469698978626028).

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

211232032000020 is a wasteful number, since it uses less digits than its factorization.

211232032000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254723830 (or 254723825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211232032000020 its reverse (20000230232112), we get a palindrome (231232262232132).

The spelling of 211232032000020 in words is "two hundred eleven trillion, two hundred thirty-two billion, thirty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 271 306 340 510 542 612 765 813 1020 1084 1355 1530 1626 2439 2710 3060 3252 4065 4607 4878 5420 8130 9214 9756 12195 13821 16260 18428 23035 24390 27642 41463 46070 48780 55284 69105 82926 92140 138210 165852 207315 276420 414630 829260 254723527 509447054 764170581 1018894108 1273617635 1528341162 2292511743 2547235270 3056682324 3820852905 4330299959 4585023486 5094470540 7641705810 8660599918 9170046972 11462558715 12990899877 15283411620 17321199836 21651499795 22925117430 25981799754 38972699631 43302999590 45850234860 51963599508 64954499385 69030075817 77945399262 86605999180 129908998770 138060151634 155890798524 194863498155 207090227451 259817997540 276120303268 345150379085 389726996310 414180454902 621270682353 690300758170 779453992620 828360909804 1035451137255 1173511288889 1242541364706 1380601516340 2070902274510 2347022577778 2485082729412 3106353411765 3520533866667 4141804549020 4694045155556 5867556444445 6212706823530 7041067733334 10561601600001 11735112888890 12425413647060 14082135466668 17602669333335 21123203200002 23470225777780 35205338666670 42246406400004 52808008000005 70410677333340 105616016000010 211232032000020