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211123332120 = 23357387727481
BaseRepresentation
bin1100010010011111101…
…1100110010000011000
3202011221112210111121010
43010213323212100120
511424340033111440
6240553321413520
721152555466501
oct3044773462030
9664845714533
10211123332120
118159a687268
1234b0093a2a0
1316ba79692bc
14a30b4d7ba8
155759c76580
hex3127ee6418

211123332120 has 128 divisors (see below), whose sum is σ = 642801781440. Its totient is φ = 55462993920.

The previous prime is 211123332113. The next prime is 211123332149. The reversal of 211123332120 is 21233321112.

It is a super-2 number, since 2×2111233321202 (a number of 23 digits) contains 22 as substring.

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, 7668780 + ... + 7696260.

Almost surely, 2211123332120 is an apocalyptic number.

211123332120 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 211123332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321400890720).

211123332120 is an abundant number, since it is smaller than the sum of its proper divisors (431678449320).

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

211123332120 is a wasteful number, since it uses less digits than its factorization.

211123332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28445 (or 28441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211123332120 its reverse (21233321112), we get a palindrome (232356653232).

The spelling of 211123332120 in words is "two hundred eleven billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 877 1095 1460 1752 1754 2190 2631 2920 3508 4380 4385 5262 7016 8760 8770 10524 13155 17540 21048 26310 27481 35080 52620 54962 64021 82443 105240 109924 128042 137405 164886 192063 219848 256084 274810 320105 329772 384126 412215 512168 549620 640210 659544 768252 824430 960315 1099240 1280420 1536504 1648860 1920630 2006113 2560840 3297720 3841260 4012226 6018339 7682520 8024452 10030565 12036678 16048904 20061130 24073356 24100837 30091695 40122260 48146712 48201674 60183390 72302511 80244520 96403348 120366780 120504185 144605022 192806696 240733560 241008370 289210044 361512555 482016740 578420088 723025110 964033480 1446050220 1759361101 2892100440 3518722202 5278083303 7037444404 8796805505 10556166606 14074888808 17593611010 21112333212 26390416515 35187222020 42224666424 52780833030 70374444040 105561666060 211123332120