Search a number
-
+
211011013012320 = 253555427237989
BaseRepresentation
bin101111111110100111010100…
…011110010110101101100000
31000200010110022022012201200000
4233332213110132112231200
5210124201023312343240
62024441042100100000
762306020416540603
oct5776472436265540
91020113268181600
10211011013012320
11612642a4888434
121b7bb421394600
13909833a215271
143a16db7a9633a
15195dd32508430
hexbfe9d4796b60

211011013012320 has 144 divisors (see below), whose sum is σ = 746744529520080. Its totient is φ = 56269603459584.

The previous prime is 211011013012313. The next prime is 211011013012343. The reversal of 211011013012320 is 23210310110112.

211011013012320 is a `hidden beast` number, since 21 + 1 + 0 + 110 + 1 + 301 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2110110130123202 (a number of 29 digits) contains 22 as substring.

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 = 211011013012293 and 211011013012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713580115 + ... + 2713657874.

It is an arithmetic number, because the mean of its divisors is an integer number (5185725899445).

Almost surely, 2211011013012320 is an apocalyptic number.

211011013012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011013012320 is an abundant number, since it is smaller than the sum of its proper divisors (535733516507760).

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

211011013012320 is an equidigital number, since it uses as much as digits as its factorization.

211011013012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427238019 (or 5427237999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211011013012320 its reverse (23210310110112), we get a palindrome (234221323122432).

The spelling of 211011013012320 in words is "two hundred eleven trillion, eleven billion, thirteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 5427237989 10854475978 16281713967 21708951956 27136189945 32563427934 43417903912 48845141901 54272379890 65126855868 81408569835 86835807824 97690283802 108544759780 130253711736 146535425703 162817139670 173671615648 195380567604 217089519560 244225709505 260507423472 293070851406 325634279340 390761135208 434179039120 439606277109 488451419010 521014846944 586141702812 651268558680 732677128515 781522270416 868358078240 879212554218 976902838020 1172283405624 1302537117360 1318818831327 1465354257030 1563044540832 1758425108436 1953805676040 2198031385545 2344566811248 2605074234720 2637637662654 2930708514060 3516850216872 3907611352080 4396062771090 4689133622496 5275275325308 5861417028120 6594094156635 7033700433744 7815222704160 8792125542180 10550550650616 11722834056240 13188188313270 14067400867488 17584251084360 21101101301232 23445668112480 26376376626540 35168502168720 42202202602464 52752753253080 70337004337440 105505506506160 211011013012320